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Finding the Fourth Proportional to 2,610.72, 3,914.15 and 966.96

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Solution

The fourth proportional to 2,610.72, 3,914.15 and 966.96 is: 1,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.72 : 3,914.15 = 966.96 : x
  2. Step 2: Convert to fraction form
    2,610.72/3,914.15 = 966.96/x
  3. Step 3: Cross multiply
    2,610.72x = 3,914.15 × 966.96
  4. Step 4: Simplify right side
    2,610.72x = 3,784,821.65
  5. Step 5: Solve for x
    x = 3,784,821.65/2,610.72
  6. Step 6: Final answer
    x = 1,449.72

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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.