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Finding the Fourth Proportional to 2,177.92, 3,267.12 and 861.70

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Solution

The fourth proportional to 2,177.92, 3,267.12 and 861.70 is: 1,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.92 : 3,267.12 = 861.70 : x
  2. Step 2: Convert to fraction form
    2,177.92/3,267.12 = 861.70/x
  3. Step 3: Cross multiply
    2,177.92x = 3,267.12 × 861.70
  4. Step 4: Simplify right side
    2,177.92x = 2,815,277.30
  5. Step 5: Solve for x
    x = 2,815,277.30/2,177.92
  6. Step 6: Final answer
    x = 1,292.64

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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.