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Finding the Fourth Proportional to 2,633.72, 3,949.25 and 878.11

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Solution

The fourth proportional to 2,633.72, 3,949.25 and 878.11 is: 1,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.72 : 3,949.25 = 878.11 : x
  2. Step 2: Convert to fraction form
    2,633.72/3,949.25 = 878.11/x
  3. Step 3: Cross multiply
    2,633.72x = 3,949.25 × 878.11
  4. Step 4: Simplify right side
    2,633.72x = 3,467,861.65
  5. Step 5: Solve for x
    x = 3,467,861.65/2,633.72
  6. Step 6: Final answer
    x = 1,316.72

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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.