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Finding the Fourth Proportional to 3,238.73, 4,469.48 and 1,841.48

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Solution

The fourth proportional to 3,238.73, 4,469.48 and 1,841.48 is: 2,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.73 : 4,469.48 = 1,841.48 : x
  2. Step 2: Convert to fraction form
    3,238.73/4,469.48 = 1,841.48/x
  3. Step 3: Cross multiply
    3,238.73x = 4,469.48 × 1,841.48
  4. Step 4: Simplify right side
    3,238.73x = 8,230,475.28
  5. Step 5: Solve for x
    x = 8,230,475.28/3,238.73
  6. Step 6: Final answer
    x = 2,541.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.