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Finding the Fourth Proportional to 2,729.73, 3,767.03 and 1,550.80

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Solution

The fourth proportional to 2,729.73, 3,767.03 and 1,550.80 is: 2,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.73 : 3,767.03 = 1,550.80 : x
  2. Step 2: Convert to fraction form
    2,729.73/3,767.03 = 1,550.80/x
  3. Step 3: Cross multiply
    2,729.73x = 3,767.03 × 1,550.80
  4. Step 4: Simplify right side
    2,729.73x = 5,841,902.37
  5. Step 5: Solve for x
    x = 5,841,902.37/2,729.73
  6. Step 6: Final answer
    x = 2,140.10

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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.