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Finding the Fourth Proportional to 2,182.62, 3,272.11 and 865.55

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Solution

The fourth proportional to 2,182.62, 3,272.11 and 865.55 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.62 : 3,272.11 = 865.55 : x
  2. Step 2: Convert to fraction form
    2,182.62/3,272.11 = 865.55/x
  3. Step 3: Cross multiply
    2,182.62x = 3,272.11 × 865.55
  4. Step 4: Simplify right side
    2,182.62x = 2,832,179.13
  5. Step 5: Solve for x
    x = 2,832,179.13/2,182.62
  6. Step 6: Final answer
    x = 1,297.60

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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.