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Finding the Fourth Proportional to 1,550.31, 2,139.33 and 920.90

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Solution

The fourth proportional to 1,550.31, 2,139.33 and 920.90 is: 1,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.31 : 2,139.33 = 920.90 : x
  2. Step 2: Convert to fraction form
    1,550.31/2,139.33 = 920.90/x
  3. Step 3: Cross multiply
    1,550.31x = 2,139.33 × 920.90
  4. Step 4: Simplify right side
    1,550.31x = 1,970,098.30
  5. Step 5: Solve for x
    x = 1,970,098.30/1,550.31
  6. Step 6: Final answer
    x = 1,270.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.