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Finding the Fourth Proportional to 2,739.60, 4,109.40 and 791.81

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Solution

The fourth proportional to 2,739.60, 4,109.40 and 791.81 is: 1,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.60 : 4,109.40 = 791.81 : x
  2. Step 2: Convert to fraction form
    2,739.60/4,109.40 = 791.81/x
  3. Step 3: Cross multiply
    2,739.60x = 4,109.40 × 791.81
  4. Step 4: Simplify right side
    2,739.60x = 3,253,843.47
  5. Step 5: Solve for x
    x = 3,253,843.47/2,739.60
  6. Step 6: Final answer
    x = 1,187.71

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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.