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Finding the Fourth Proportional to 2,571.50, 3,548.64 and 1,452.42

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Solution

The fourth proportional to 2,571.50, 3,548.64 and 1,452.42 is: 2,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.50 : 3,548.64 = 1,452.42 : x
  2. Step 2: Convert to fraction form
    2,571.50/3,548.64 = 1,452.42/x
  3. Step 3: Cross multiply
    2,571.50x = 3,548.64 × 1,452.42
  4. Step 4: Simplify right side
    2,571.50x = 5,154,115.71
  5. Step 5: Solve for x
    x = 5,154,115.71/2,571.50
  6. Step 6: Final answer
    x = 2,004.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.