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Finding the Fourth Proportional to 2,551.44, 3,517.92 and 1,984.44

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Solution

The fourth proportional to 2,551.44, 3,517.92 and 1,984.44 is: 2,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.44 : 3,517.92 = 1,984.44 : x
  2. Step 2: Convert to fraction form
    2,551.44/3,517.92 = 1,984.44/x
  3. Step 3: Cross multiply
    2,551.44x = 3,517.92 × 1,984.44
  4. Step 4: Simplify right side
    2,551.44x = 6,981,101.16
  5. Step 5: Solve for x
    x = 6,981,101.16/2,551.44
  6. Step 6: Final answer
    x = 2,736.14

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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.