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Finding the Fourth Proportional to 2,502.14, 3,752.87 and 653.10

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Solution

The fourth proportional to 2,502.14, 3,752.87 and 653.10 is: 979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.14 : 3,752.87 = 653.10 : x
  2. Step 2: Convert to fraction form
    2,502.14/3,752.87 = 653.10/x
  3. Step 3: Cross multiply
    2,502.14x = 3,752.87 × 653.10
  4. Step 4: Simplify right side
    2,502.14x = 2,450,996.13
  5. Step 5: Solve for x
    x = 2,450,996.13/2,502.14
  6. Step 6: Final answer
    x = 979.56

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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.