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Finding the Fourth Proportional to 2,481.57, 3,723.83 and 921.71

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Solution

The fourth proportional to 2,481.57, 3,723.83 and 921.71 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.57 : 3,723.83 = 921.71 : x
  2. Step 2: Convert to fraction form
    2,481.57/3,723.83 = 921.71/x
  3. Step 3: Cross multiply
    2,481.57x = 3,723.83 × 921.71
  4. Step 4: Simplify right side
    2,481.57x = 3,432,304.69
  5. Step 5: Solve for x
    x = 3,432,304.69/2,481.57
  6. Step 6: Final answer
    x = 1,383.12

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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.