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Finding the Fourth Proportional to 2,092.60, 3,138.89 and 631.70

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Solution

The fourth proportional to 2,092.60, 3,138.89 and 631.70 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.60 : 3,138.89 = 631.70 : x
  2. Step 2: Convert to fraction form
    2,092.60/3,138.89 = 631.70/x
  3. Step 3: Cross multiply
    2,092.60x = 3,138.89 × 631.70
  4. Step 4: Simplify right side
    2,092.60x = 1,982,836.81
  5. Step 5: Solve for x
    x = 1,982,836.81/2,092.60
  6. Step 6: Final answer
    x = 947.55

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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.