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Finding the Fourth Proportional to 2,031.90, 3,047.76 and 861.58

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Solution

The fourth proportional to 2,031.90, 3,047.76 and 861.58 is: 1,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.90 : 3,047.76 = 861.58 : x
  2. Step 2: Convert to fraction form
    2,031.90/3,047.76 = 861.58/x
  3. Step 3: Cross multiply
    2,031.90x = 3,047.76 × 861.58
  4. Step 4: Simplify right side
    2,031.90x = 2,625,889.06
  5. Step 5: Solve for x
    x = 2,625,889.06/2,031.90
  6. Step 6: Final answer
    x = 1,292.33

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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.