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Finding the Fourth Proportional to 2,092.11, 3,138.67 and 631.17

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Solution

The fourth proportional to 2,092.11, 3,138.67 and 631.17 is: 946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.11 : 3,138.67 = 631.17 : x
  2. Step 2: Convert to fraction form
    2,092.11/3,138.67 = 631.17/x
  3. Step 3: Cross multiply
    2,092.11x = 3,138.67 × 631.17
  4. Step 4: Simplify right side
    2,092.11x = 1,981,046.90
  5. Step 5: Solve for x
    x = 1,981,046.90/2,092.11
  6. Step 6: Final answer
    x = 946.91

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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.