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Finding the Fourth Proportional to 2,616.65, 3,925.67 and 861.92

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Solution

The fourth proportional to 2,616.65, 3,925.67 and 861.92 is: 1,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.65 : 3,925.67 = 861.92 : x
  2. Step 2: Convert to fraction form
    2,616.65/3,925.67 = 861.92/x
  3. Step 3: Cross multiply
    2,616.65x = 3,925.67 × 861.92
  4. Step 4: Simplify right side
    2,616.65x = 3,383,626.35
  5. Step 5: Solve for x
    x = 3,383,626.35/2,616.65
  6. Step 6: Final answer
    x = 1,293.11

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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.