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Finding the Fourth Proportional to 1,614.54, 2,424.90 and 1,002.53

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Solution

The fourth proportional to 1,614.54, 2,424.90 and 1,002.53 is: 1,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.54 : 2,424.90 = 1,002.53 : x
  2. Step 2: Convert to fraction form
    1,614.54/2,424.90 = 1,002.53/x
  3. Step 3: Cross multiply
    1,614.54x = 2,424.90 × 1,002.53
  4. Step 4: Simplify right side
    1,614.54x = 2,431,022.87
  5. Step 5: Solve for x
    x = 2,431,022.87/1,614.54
  6. Step 6: Final answer
    x = 1,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.