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Finding the Fourth Proportional to 2,791.23, 4,187.52 and 843.32

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Solution

The fourth proportional to 2,791.23, 4,187.52 and 843.32 is: 1,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.23 : 4,187.52 = 843.32 : x
  2. Step 2: Convert to fraction form
    2,791.23/4,187.52 = 843.32/x
  3. Step 3: Cross multiply
    2,791.23x = 4,187.52 × 843.32
  4. Step 4: Simplify right side
    2,791.23x = 3,531,419.37
  5. Step 5: Solve for x
    x = 3,531,419.37/2,791.23
  6. Step 6: Final answer
    x = 1,265.18

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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.