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Finding the Fourth Proportional to 2,744.26, 4,116.48 and 796.48

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Solution

The fourth proportional to 2,744.26, 4,116.48 and 796.48 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.26 : 4,116.48 = 796.48 : x
  2. Step 2: Convert to fraction form
    2,744.26/4,116.48 = 796.48/x
  3. Step 3: Cross multiply
    2,744.26x = 4,116.48 × 796.48
  4. Step 4: Simplify right side
    2,744.26x = 3,278,693.99
  5. Step 5: Solve for x
    x = 3,278,693.99/2,744.26
  6. Step 6: Final answer
    x = 1,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.