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Finding the Fourth Proportional to 2,092.22, 3,138.38 and 631.37

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Solution

The fourth proportional to 2,092.22, 3,138.38 and 631.37 is: 947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.22 : 3,138.38 = 631.37 : x
  2. Step 2: Convert to fraction form
    2,092.22/3,138.38 = 631.37/x
  3. Step 3: Cross multiply
    2,092.22x = 3,138.38 × 631.37
  4. Step 4: Simplify right side
    2,092.22x = 1,981,460.13
  5. Step 5: Solve for x
    x = 1,981,460.13/2,092.22
  6. Step 6: Final answer
    x = 947.06

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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.