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Finding the Fourth Proportional to 2,031.87, 3,047.20 and 861.85

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Solution

The fourth proportional to 2,031.87, 3,047.20 and 861.85 is: 1,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.87 : 3,047.20 = 861.85 : x
  2. Step 2: Convert to fraction form
    2,031.87/3,047.20 = 861.85/x
  3. Step 3: Cross multiply
    2,031.87x = 3,047.20 × 861.85
  4. Step 4: Simplify right side
    2,031.87x = 2,626,230.97
  5. Step 5: Solve for x
    x = 2,626,230.97/2,031.87
  6. Step 6: Final answer
    x = 1,292.52

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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.