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Finding the Fourth Proportional to 3,129.40, 4,694.16 and 938.17

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Solution

The fourth proportional to 3,129.40, 4,694.16 and 938.17 is: 1,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.40 : 4,694.16 = 938.17 : x
  2. Step 2: Convert to fraction form
    3,129.40/4,694.16 = 938.17/x
  3. Step 3: Cross multiply
    3,129.40x = 4,694.16 × 938.17
  4. Step 4: Simplify right side
    3,129.40x = 4,403,896.62
  5. Step 5: Solve for x
    x = 4,403,896.62/3,129.40
  6. Step 6: Final answer
    x = 1,407.27

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