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Finding the Fourth Proportional to 2,504.85, 3,757.03 and 861.52

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Solution

The fourth proportional to 2,504.85, 3,757.03 and 861.52 is: 1,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.85 : 3,757.03 = 861.52 : x
  2. Step 2: Convert to fraction form
    2,504.85/3,757.03 = 861.52/x
  3. Step 3: Cross multiply
    2,504.85x = 3,757.03 × 861.52
  4. Step 4: Simplify right side
    2,504.85x = 3,236,737.89
  5. Step 5: Solve for x
    x = 3,236,737.89/2,504.85
  6. Step 6: Final answer
    x = 1,292.19

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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.