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Finding the Fourth Proportional to 2,567.16, 3,854.39 and 2,449.71

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Solution

The fourth proportional to 2,567.16, 3,854.39 and 2,449.71 is: 3,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.16 : 3,854.39 = 2,449.71 : x
  2. Step 2: Convert to fraction form
    2,567.16/3,854.39 = 2,449.71/x
  3. Step 3: Cross multiply
    2,567.16x = 3,854.39 × 2,449.71
  4. Step 4: Simplify right side
    2,567.16x = 9,442,125.48
  5. Step 5: Solve for x
    x = 9,442,125.48/2,567.16
  6. Step 6: Final answer
    x = 3,678.04

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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.