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Finding the Fourth Proportional to 2,872.45, 3,964.17 and 1,613.60

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Solution

The fourth proportional to 2,872.45, 3,964.17 and 1,613.60 is: 2,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.45 : 3,964.17 = 1,613.60 : x
  2. Step 2: Convert to fraction form
    2,872.45/3,964.17 = 1,613.60/x
  3. Step 3: Cross multiply
    2,872.45x = 3,964.17 × 1,613.60
  4. Step 4: Simplify right side
    2,872.45x = 6,396,584.71
  5. Step 5: Solve for x
    x = 6,396,584.71/2,872.45
  6. Step 6: Final answer
    x = 2,226.87

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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.