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Finding the Fourth Proportional to 2,249.90, 3,375 and 1,080.16

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Solution

The fourth proportional to 2,249.90, 3,375 and 1,080.16 is: 1,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.90 : 3,375 = 1,080.16 : x
  2. Step 2: Convert to fraction form
    2,249.90/3,375 = 1,080.16/x
  3. Step 3: Cross multiply
    2,249.90x = 3,375 × 1,080.16
  4. Step 4: Simplify right side
    2,249.90x = 3,645,540.00
  5. Step 5: Solve for x
    x = 3,645,540.00/2,249.90
  6. Step 6: Final answer
    x = 1,620.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.