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Finding the Fourth Proportional to 2,092.54, 3,138.82 and 631.70

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Solution

The fourth proportional to 2,092.54, 3,138.82 and 631.70 is: 947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.54 : 3,138.82 = 631.70 : x
  2. Step 2: Convert to fraction form
    2,092.54/3,138.82 = 631.70/x
  3. Step 3: Cross multiply
    2,092.54x = 3,138.82 × 631.70
  4. Step 4: Simplify right side
    2,092.54x = 1,982,794.17
  5. Step 5: Solve for x
    x = 1,982,794.17/2,092.54
  6. Step 6: Final answer
    x = 947.56

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Why These Related Problems?

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