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Finding the Fourth Proportional to 2,724.80, 3,761.38 and 1,841.80

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Solution

The fourth proportional to 2,724.80, 3,761.38 and 1,841.80 is: 2,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.80 : 3,761.38 = 1,841.80 : x
  2. Step 2: Convert to fraction form
    2,724.80/3,761.38 = 1,841.80/x
  3. Step 3: Cross multiply
    2,724.80x = 3,761.38 × 1,841.80
  4. Step 4: Simplify right side
    2,724.80x = 6,927,709.68
  5. Step 5: Solve for x
    x = 6,927,709.68/2,724.80
  6. Step 6: Final answer
    x = 2,542.47

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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.