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Finding the Fourth Proportional to 2,744.19, 4,117.14 and 796.39

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Solution

The fourth proportional to 2,744.19, 4,117.14 and 796.39 is: 1,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.19 : 4,117.14 = 796.39 : x
  2. Step 2: Convert to fraction form
    2,744.19/4,117.14 = 796.39/x
  3. Step 3: Cross multiply
    2,744.19x = 4,117.14 × 796.39
  4. Step 4: Simplify right side
    2,744.19x = 3,278,868.90
  5. Step 5: Solve for x
    x = 3,278,868.90/2,744.19
  6. Step 6: Final answer
    x = 1,194.84

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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.