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Finding the Fourth Proportional to 2,739.32, 4,109 and 791.52

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Solution

The fourth proportional to 2,739.32, 4,109 and 791.52 is: 1,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.32 : 4,109 = 791.52 : x
  2. Step 2: Convert to fraction form
    2,739.32/4,109 = 791.52/x
  3. Step 3: Cross multiply
    2,739.32x = 4,109 × 791.52
  4. Step 4: Simplify right side
    2,739.32x = 3,252,355.68
  5. Step 5: Solve for x
    x = 3,252,355.68/2,739.32
  6. Step 6: Final answer
    x = 1,187.29

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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.