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Finding the Fourth Proportional to 2,744.28, 4,115.24 and 869.74

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Solution

The fourth proportional to 2,744.28, 4,115.24 and 869.74 is: 1,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.28 : 4,115.24 = 869.74 : x
  2. Step 2: Convert to fraction form
    2,744.28/4,115.24 = 869.74/x
  3. Step 3: Cross multiply
    2,744.28x = 4,115.24 × 869.74
  4. Step 4: Simplify right side
    2,744.28x = 3,579,177.46
  5. Step 5: Solve for x
    x = 3,579,177.46/2,744.28
  6. Step 6: Final answer
    x = 1,304.23

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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.