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Finding the Fourth Proportional to 2,092.21, 3,138.45 and 631.42

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Solution

The fourth proportional to 2,092.21, 3,138.45 and 631.42 is: 947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.21 : 3,138.45 = 631.42 : x
  2. Step 2: Convert to fraction form
    2,092.21/3,138.45 = 631.42/x
  3. Step 3: Cross multiply
    2,092.21x = 3,138.45 × 631.42
  4. Step 4: Simplify right side
    2,092.21x = 1,981,680.10
  5. Step 5: Solve for x
    x = 1,981,680.10/2,092.21
  6. Step 6: Final answer
    x = 947.17

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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.