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Finding the Fourth Proportional to 2,092.97, 3,139.23 and 631.79

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Solution

The fourth proportional to 2,092.97, 3,139.23 and 631.79 is: 947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.97 : 3,139.23 = 631.79 : x
  2. Step 2: Convert to fraction form
    2,092.97/3,139.23 = 631.79/x
  3. Step 3: Cross multiply
    2,092.97x = 3,139.23 × 631.79
  4. Step 4: Simplify right side
    2,092.97x = 1,983,318.43
  5. Step 5: Solve for x
    x = 1,983,318.43/2,092.97
  6. Step 6: Final answer
    x = 947.61

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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.