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Finding the Fourth Proportional to 2,249.78, 3,104.57 and 1,254.86

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Solution

The fourth proportional to 2,249.78, 3,104.57 and 1,254.86 is: 1,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.78 : 3,104.57 = 1,254.86 : x
  2. Step 2: Convert to fraction form
    2,249.78/3,104.57 = 1,254.86/x
  3. Step 3: Cross multiply
    2,249.78x = 3,104.57 × 1,254.86
  4. Step 4: Simplify right side
    2,249.78x = 3,895,788.32
  5. Step 5: Solve for x
    x = 3,895,788.32/2,249.78
  6. Step 6: Final answer
    x = 1,731.63

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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.