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To answer the questions based on the provided image, I will first explain the calculations required.

1. **Inflación acumulada anual del 2019 (En blanco 1)**:
   This is calculated using the Índice de Precios al Consumidor (IPC) between December 2018 and December 2019:
   
   \[
   \text{Inflación anual} = \left( \frac{\text{IPC in December 2019}}{\text{IPC in December 2018}} - 1 \right) \times 100
   \]
   
   From the table:
   - IPC for December 2019 = 132.42
   - IPC for December 2018 = 130.23

   \[
   \text{Inflación acumulada 2019} = \left( \frac{132.42}{130.23} - 1 \right) \times 100
   \]

2. **Inflación anualizada a agosto del 2019 (En blanco 2)**:
   This inflation is calculated by comparing the IPC in August 2019 with August 2018:
   
   \[
   \text{Inflación anualizada a agosto 2019} = \left( \frac{\text{IPC in August 2019}}{\text{IPC in August 2018}} - 1 \right) \times 100
   \]
   
   From the table:
   - IPC for August 2019 = 132.42
   - IPC for August 2018 = 128.59

   \[
   \text{Inflación anualizada a agosto 2019} = \left( \frac{132.42}{128.59} - 1 \right) \times 100
   \]

3. **Inflación promedio mensual del 2019 (En blanco 3)**:
   The monthly average inflation rate can be found by calculating the inflation rate for each month and averaging them. First, we can approximate by dividing the annual inflation by 12:
   
   \[
   \text{Inflación promedio mensual 2019} = \frac{\text{Inflación acumulada anual}}{12}
   \]

Let me calculate these values for you.Here are the results based on the provided dataHere are the results based on the provided 

1. **Inflación acumulada anual del año 2019 (En blanco 1):** 1.68%
2. **Inflación anualizada a agosto del año 2019 (En blanco 2):** 2.98%
3. **Inflación promedio mensual del año 2019 (En blanco 3):** 0.14%

If you have any questions or want further details, feel free to ask.

Here are some follow-up questions:
1. How is inflation related to changes in consumer purchasing power?
2. Can you explain the difference between annual inflation and monthly inflation?
3. How can inflation affect long-term savings or investments?
4. What are some common methods to control inflation in an economy?
5. How does the base year (2009 in this case) affect the interpretation of the IPC?

**Tip:** When calculating inflation, ensure to use consistent periods (months or years) for accurate comparisons and avoid seasonality distortions.

El INEI ha publicado los valores del IPC a agosto del 2020. Con esta información, conteste las siguientes preguntas:

a) La inflación acumulada anual del año 2019 es ___.
b) La inflación anualizada a agosto del año 2019 es ___.
c) La inflación promedio mensual del año 2019 es ___.

Learn how to calculate annual, annualized, and average monthly inflation rates for Lima Metropolitana using the IPC data for 2019. This exercise involves percentage change calculations and is suitable for high school students.

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