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Finding the Fourth Proportional to 2,744.14, 4,116.84 and 796.27

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Solution

The fourth proportional to 2,744.14, 4,116.84 and 796.27 is: 1,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.14 : 4,116.84 = 796.27 : x
  2. Step 2: Convert to fraction form
    2,744.14/4,116.84 = 796.27/x
  3. Step 3: Cross multiply
    2,744.14x = 4,116.84 × 796.27
  4. Step 4: Simplify right side
    2,744.14x = 3,278,116.19
  5. Step 5: Solve for x
    x = 3,278,116.19/2,744.14
  6. Step 6: Final answer
    x = 1,194.59

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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.