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Finding the Fourth Proportional to 2,224.31, 3,337.83 and 1,129.46

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Solution

The fourth proportional to 2,224.31, 3,337.83 and 1,129.46 is: 1,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.31 : 3,337.83 = 1,129.46 : x
  2. Step 2: Convert to fraction form
    2,224.31/3,337.83 = 1,129.46/x
  3. Step 3: Cross multiply
    2,224.31x = 3,337.83 × 1,129.46
  4. Step 4: Simplify right side
    2,224.31x = 3,769,928.78
  5. Step 5: Solve for x
    x = 3,769,928.78/2,224.31
  6. Step 6: Final answer
    x = 1,694.88

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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.