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Finding the Fourth Proportional to 2,180.62, 3,272.31 and 793.82

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Solution

The fourth proportional to 2,180.62, 3,272.31 and 793.82 is: 1,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.62 : 3,272.31 = 793.82 : x
  2. Step 2: Convert to fraction form
    2,180.62/3,272.31 = 793.82/x
  3. Step 3: Cross multiply
    2,180.62x = 3,272.31 × 793.82
  4. Step 4: Simplify right side
    2,180.62x = 2,597,624.01
  5. Step 5: Solve for x
    x = 2,597,624.01/2,180.62
  6. Step 6: Final answer
    x = 1,191.23

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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.