
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In recent years, with the cooling of the national real estate market, the price of commercial housing has begun to show a downward trend. In 2012, the average selling price of a certain real estate property was 5000 yuan/square meter, and in 2014, the average selling price of this property was 4050 yuan/square meter.  
(1) If the average rate of decline in the property price in 2013 and 2014 was the same, calculate the average rate of decline in the property price;  
(2) Based on the rate of decline in property prices in (1), please predict the average price of this property in 2015 per square meter.

Present the answer in LaTex format: \boxed{Your answer}
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