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Finding the Fourth Proportional to 2,229.28, 3,074.92 and 1,344.16

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Solution

The fourth proportional to 2,229.28, 3,074.92 and 1,344.16 is: 1,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.28 : 3,074.92 = 1,344.16 : x
  2. Step 2: Convert to fraction form
    2,229.28/3,074.92 = 1,344.16/x
  3. Step 3: Cross multiply
    2,229.28x = 3,074.92 × 1,344.16
  4. Step 4: Simplify right side
    2,229.28x = 4,133,184.47
  5. Step 5: Solve for x
    x = 4,133,184.47/2,229.28
  6. Step 6: Final answer
    x = 1,854.04

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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.