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Finding the Fourth Proportional to 2,031.26, 3,046.62 and 861.73

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Solution

The fourth proportional to 2,031.26, 3,046.62 and 861.73 is: 1,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.26 : 3,046.62 = 861.73 : x
  2. Step 2: Convert to fraction form
    2,031.26/3,046.62 = 861.73/x
  3. Step 3: Cross multiply
    2,031.26x = 3,046.62 × 861.73
  4. Step 4: Simplify right side
    2,031.26x = 2,625,356.24
  5. Step 5: Solve for x
    x = 2,625,356.24/2,031.26
  6. Step 6: Final answer
    x = 1,292.48

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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.