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Finding the Fourth Proportional to 2,728.64, 3,765.38 and 1,550.09

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Solution

The fourth proportional to 2,728.64, 3,765.38 and 1,550.09 is: 2,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.64 : 3,765.38 = 1,550.09 : x
  2. Step 2: Convert to fraction form
    2,728.64/3,765.38 = 1,550.09/x
  3. Step 3: Cross multiply
    2,728.64x = 3,765.38 × 1,550.09
  4. Step 4: Simplify right side
    2,728.64x = 5,836,677.88
  5. Step 5: Solve for x
    x = 5,836,677.88/2,728.64
  6. Step 6: Final answer
    x = 2,139.04

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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.