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Finding the Fourth Proportional to 1,832.17, 2,747.42 and 791.68

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Solution

The fourth proportional to 1,832.17, 2,747.42 and 791.68 is: 1,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.17 : 2,747.42 = 791.68 : x
  2. Step 2: Convert to fraction form
    1,832.17/2,747.42 = 791.68/x
  3. Step 3: Cross multiply
    1,832.17x = 2,747.42 × 791.68
  4. Step 4: Simplify right side
    1,832.17x = 2,175,077.47
  5. Step 5: Solve for x
    x = 2,175,077.47/1,832.17
  6. Step 6: Final answer
    x = 1,187.16

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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.