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Finding the Fourth Proportional to 2,092.93, 3,138.80 and 631.73

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Solution

The fourth proportional to 2,092.93, 3,138.80 and 631.73 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.93 : 3,138.80 = 631.73 : x
  2. Step 2: Convert to fraction form
    2,092.93/3,138.80 = 631.73/x
  3. Step 3: Cross multiply
    2,092.93x = 3,138.80 × 631.73
  4. Step 4: Simplify right side
    2,092.93x = 1,982,874.12
  5. Step 5: Solve for x
    x = 1,982,874.12/2,092.93
  6. Step 6: Final answer
    x = 947.42

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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.