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Finding the Fourth Proportional to 2,502.17, 3,753.79 and 942.65

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Solution

The fourth proportional to 2,502.17, 3,753.79 and 942.65 is: 1,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.17 : 3,753.79 = 942.65 : x
  2. Step 2: Convert to fraction form
    2,502.17/3,753.79 = 942.65/x
  3. Step 3: Cross multiply
    2,502.17x = 3,753.79 × 942.65
  4. Step 4: Simplify right side
    2,502.17x = 3,538,489.02
  5. Step 5: Solve for x
    x = 3,538,489.02/2,502.17
  6. Step 6: Final answer
    x = 1,414.17

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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.