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Finding the Fourth Proportional to 2,711.32, 4,065.68 and 861.96

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Solution

The fourth proportional to 2,711.32, 4,065.68 and 861.96 is: 1,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.32 : 4,065.68 = 861.96 : x
  2. Step 2: Convert to fraction form
    2,711.32/4,065.68 = 861.96/x
  3. Step 3: Cross multiply
    2,711.32x = 4,065.68 × 861.96
  4. Step 4: Simplify right side
    2,711.32x = 3,504,453.53
  5. Step 5: Solve for x
    x = 3,504,453.53/2,711.32
  6. Step 6: Final answer
    x = 1,292.53

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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.