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Finding the Fourth Proportional to 2,739.27, 4,109.51 and 791.47

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Solution

The fourth proportional to 2,739.27, 4,109.51 and 791.47 is: 1,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.27 : 4,109.51 = 791.47 : x
  2. Step 2: Convert to fraction form
    2,739.27/4,109.51 = 791.47/x
  3. Step 3: Cross multiply
    2,739.27x = 4,109.51 × 791.47
  4. Step 4: Simplify right side
    2,739.27x = 3,252,553.88
  5. Step 5: Solve for x
    x = 3,252,553.88/2,739.27
  6. Step 6: Final answer
    x = 1,187.38

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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.