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Finding the Fourth Proportional to 2,744.12, 4,115.94 and 796.04

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Solution

The fourth proportional to 2,744.12, 4,115.94 and 796.04 is: 1,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.12 : 4,115.94 = 796.04 : x
  2. Step 2: Convert to fraction form
    2,744.12/4,115.94 = 796.04/x
  3. Step 3: Cross multiply
    2,744.12x = 4,115.94 × 796.04
  4. Step 4: Simplify right side
    2,744.12x = 3,276,452.88
  5. Step 5: Solve for x
    x = 3,276,452.88/2,744.12
  6. Step 6: Final answer
    x = 1,193.99

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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.