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Finding the Fourth Proportional to 2,249.81, 3,375.70 and 1,208.60

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Solution

The fourth proportional to 2,249.81, 3,375.70 and 1,208.60 is: 1,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.81 : 3,375.70 = 1,208.60 : x
  2. Step 2: Convert to fraction form
    2,249.81/3,375.70 = 1,208.60/x
  3. Step 3: Cross multiply
    2,249.81x = 3,375.70 × 1,208.60
  4. Step 4: Simplify right side
    2,249.81x = 4,079,876.44
  5. Step 5: Solve for x
    x = 4,079,876.44/2,249.81
  6. Step 6: Final answer
    x = 1,813.43

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