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Finding the Fourth Proportional to 2,744.34, 4,116.51 and 796.55

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Solution

The fourth proportional to 2,744.34, 4,116.51 and 796.55 is: 1,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.34 : 4,116.51 = 796.55 : x
  2. Step 2: Convert to fraction form
    2,744.34/4,116.51 = 796.55/x
  3. Step 3: Cross multiply
    2,744.34x = 4,116.51 × 796.55
  4. Step 4: Simplify right side
    2,744.34x = 3,278,985.46
  5. Step 5: Solve for x
    x = 3,278,985.46/2,744.34
  6. Step 6: Final answer
    x = 1,194.82

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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.