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Finding the Fourth Proportional to 2,526.11, 3,789.41 and 861.41

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Solution

The fourth proportional to 2,526.11, 3,789.41 and 861.41 is: 1,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.11 : 3,789.41 = 861.41 : x
  2. Step 2: Convert to fraction form
    2,526.11/3,789.41 = 861.41/x
  3. Step 3: Cross multiply
    2,526.11x = 3,789.41 × 861.41
  4. Step 4: Simplify right side
    2,526.11x = 3,264,247.30
  5. Step 5: Solve for x
    x = 3,264,247.30/2,526.11
  6. Step 6: Final answer
    x = 1,292.20

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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.