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Finding the Fourth Proportional to 2,744.10, 4,116.42 and 796.32

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Solution

The fourth proportional to 2,744.10, 4,116.42 and 796.32 is: 1,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.10 : 4,116.42 = 796.32 : x
  2. Step 2: Convert to fraction form
    2,744.10/4,116.42 = 796.32/x
  3. Step 3: Cross multiply
    2,744.10x = 4,116.42 × 796.32
  4. Step 4: Simplify right side
    2,744.10x = 3,277,987.57
  5. Step 5: Solve for x
    x = 3,277,987.57/2,744.10
  6. Step 6: Final answer
    x = 1,194.56

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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.