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Finding the Fourth Proportional to 2,728.92, 3,765.78 and 1,549.84

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Solution

The fourth proportional to 2,728.92, 3,765.78 and 1,549.84 is: 2,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.92 : 3,765.78 = 1,549.84 : x
  2. Step 2: Convert to fraction form
    2,728.92/3,765.78 = 1,549.84/x
  3. Step 3: Cross multiply
    2,728.92x = 3,765.78 × 1,549.84
  4. Step 4: Simplify right side
    2,728.92x = 5,836,356.48
  5. Step 5: Solve for x
    x = 5,836,356.48/2,728.92
  6. Step 6: Final answer
    x = 2,138.71

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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.