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Finding the Fourth Proportional to 2,657.16, 3,991.50 and 2,247.12

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Solution

The fourth proportional to 2,657.16, 3,991.50 and 2,247.12 is: 3,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.16 : 3,991.50 = 2,247.12 : x
  2. Step 2: Convert to fraction form
    2,657.16/3,991.50 = 2,247.12/x
  3. Step 3: Cross multiply
    2,657.16x = 3,991.50 × 2,247.12
  4. Step 4: Simplify right side
    2,657.16x = 8,969,379.48
  5. Step 5: Solve for x
    x = 8,969,379.48/2,657.16
  6. Step 6: Final answer
    x = 3,375.55

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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.