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Finding the Fourth Proportional to 3,344.80, 4,613.28 and 2,560.64

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Solution

The fourth proportional to 3,344.80, 4,613.28 and 2,560.64 is: 3,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.80 : 4,613.28 = 2,560.64 : x
  2. Step 2: Convert to fraction form
    3,344.80/4,613.28 = 2,560.64/x
  3. Step 3: Cross multiply
    3,344.80x = 4,613.28 × 2,560.64
  4. Step 4: Simplify right side
    3,344.80x = 11,812,949.30
  5. Step 5: Solve for x
    x = 11,812,949.30/3,344.80
  6. Step 6: Final answer
    x = 3,531.74

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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.