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Finding the Fourth Proportional to 2,739.20, 4,109.44 and 791.36

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Solution

The fourth proportional to 2,739.20, 4,109.44 and 791.36 is: 1,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.20 : 4,109.44 = 791.36 : x
  2. Step 2: Convert to fraction form
    2,739.20/4,109.44 = 791.36/x
  3. Step 3: Cross multiply
    2,739.20x = 4,109.44 × 791.36
  4. Step 4: Simplify right side
    2,739.20x = 3,252,046.44
  5. Step 5: Solve for x
    x = 3,252,046.44/2,739.20
  6. Step 6: Final answer
    x = 1,187.22

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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.