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Finding the Fourth Proportional to 2,641.62, 3,639.78 and 2,167.92

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Solution

The fourth proportional to 2,641.62, 3,639.78 and 2,167.92 is: 2,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.62 : 3,639.78 = 2,167.92 : x
  2. Step 2: Convert to fraction form
    2,641.62/3,639.78 = 2,167.92/x
  3. Step 3: Cross multiply
    2,641.62x = 3,639.78 × 2,167.92
  4. Step 4: Simplify right side
    2,641.62x = 7,890,751.86
  5. Step 5: Solve for x
    x = 7,890,751.86/2,641.62
  6. Step 6: Final answer
    x = 2,987.09

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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.