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Finding the Fourth Proportional to 2,728.69, 3,765.89 and 1,549.73

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Solution

The fourth proportional to 2,728.69, 3,765.89 and 1,549.73 is: 2,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.69 : 3,765.89 = 1,549.73 : x
  2. Step 2: Convert to fraction form
    2,728.69/3,765.89 = 1,549.73/x
  3. Step 3: Cross multiply
    2,728.69x = 3,765.89 × 1,549.73
  4. Step 4: Simplify right side
    2,728.69x = 5,836,126.00
  5. Step 5: Solve for x
    x = 5,836,126.00/2,728.69
  6. Step 6: Final answer
    x = 2,138.80

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