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Finding the Fourth Proportional to 2,249.80, 3,101.34 and 1,751.56

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Solution

The fourth proportional to 2,249.80, 3,101.34 and 1,751.56 is: 2,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.80 : 3,101.34 = 1,751.56 : x
  2. Step 2: Convert to fraction form
    2,249.80/3,101.34 = 1,751.56/x
  3. Step 3: Cross multiply
    2,249.80x = 3,101.34 × 1,751.56
  4. Step 4: Simplify right side
    2,249.80x = 5,432,183.09
  5. Step 5: Solve for x
    x = 5,432,183.09/2,249.80
  6. Step 6: Final answer
    x = 2,414.52

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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.