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Finding the Fourth Proportional to 2,031.74, 3,045.15 and 861.29

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Solution

The fourth proportional to 2,031.74, 3,045.15 and 861.29 is: 1,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.74 : 3,045.15 = 861.29 : x
  2. Step 2: Convert to fraction form
    2,031.74/3,045.15 = 861.29/x
  3. Step 3: Cross multiply
    2,031.74x = 3,045.15 × 861.29
  4. Step 4: Simplify right side
    2,031.74x = 2,622,757.24
  5. Step 5: Solve for x
    x = 2,622,757.24/2,031.74
  6. Step 6: Final answer
    x = 1,290.89

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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.