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Finding the Fourth Proportional to 2,249.82, 3,104.76 and 1,255.14

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Solution

The fourth proportional to 2,249.82, 3,104.76 and 1,255.14 is: 1,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.82 : 3,104.76 = 1,255.14 : x
  2. Step 2: Convert to fraction form
    2,249.82/3,104.76 = 1,255.14/x
  3. Step 3: Cross multiply
    2,249.82x = 3,104.76 × 1,255.14
  4. Step 4: Simplify right side
    2,249.82x = 3,896,908.47
  5. Step 5: Solve for x
    x = 3,896,908.47/2,249.82
  6. Step 6: Final answer
    x = 1,732.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.