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Finding the Fourth Proportional to 2,739.11, 4,109.27 and 791.15

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Solution

The fourth proportional to 2,739.11, 4,109.27 and 791.15 is: 1,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.11 : 4,109.27 = 791.15 : x
  2. Step 2: Convert to fraction form
    2,739.11/4,109.27 = 791.15/x
  3. Step 3: Cross multiply
    2,739.11x = 4,109.27 × 791.15
  4. Step 4: Simplify right side
    2,739.11x = 3,251,024.46
  5. Step 5: Solve for x
    x = 3,251,024.46/2,739.11
  6. Step 6: Final answer
    x = 1,186.89

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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.