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Finding the Fourth Proportional to 2,616.96, 3,925.18 and 861.91

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Solution

The fourth proportional to 2,616.96, 3,925.18 and 861.91 is: 1,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.96 : 3,925.18 = 861.91 : x
  2. Step 2: Convert to fraction form
    2,616.96/3,925.18 = 861.91/x
  3. Step 3: Cross multiply
    2,616.96x = 3,925.18 × 861.91
  4. Step 4: Simplify right side
    2,616.96x = 3,383,151.89
  5. Step 5: Solve for x
    x = 3,383,151.89/2,616.96
  6. Step 6: Final answer
    x = 1,292.78

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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.