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Finding the Fourth Proportional to 3,229.28, 4,840.24 and 1,377.68

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Solution

The fourth proportional to 3,229.28, 4,840.24 and 1,377.68 is: 2,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.28 : 4,840.24 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    3,229.28/4,840.24 = 1,377.68/x
  3. Step 3: Cross multiply
    3,229.28x = 4,840.24 × 1,377.68
  4. Step 4: Simplify right side
    3,229.28x = 6,668,301.84
  5. Step 5: Solve for x
    x = 6,668,301.84/3,229.28
  6. Step 6: Final answer
    x = 2,064.95

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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.