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Finding the Fourth Proportional to 2,092.32, 3,138.01 and 631.15

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Solution

The fourth proportional to 2,092.32, 3,138.01 and 631.15 is: 946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.32 : 3,138.01 = 631.15 : x
  2. Step 2: Convert to fraction form
    2,092.32/3,138.01 = 631.15/x
  3. Step 3: Cross multiply
    2,092.32x = 3,138.01 × 631.15
  4. Step 4: Simplify right side
    2,092.32x = 1,980,545.59
  5. Step 5: Solve for x
    x = 1,980,545.59/2,092.32
  6. Step 6: Final answer
    x = 946.58

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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.