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Finding the Fourth Proportional to 2,249.49, 3,375.77 and 788.62

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Solution

The fourth proportional to 2,249.49, 3,375.77 and 788.62 is: 1,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.49 : 3,375.77 = 788.62 : x
  2. Step 2: Convert to fraction form
    2,249.49/3,375.77 = 788.62/x
  3. Step 3: Cross multiply
    2,249.49x = 3,375.77 × 788.62
  4. Step 4: Simplify right side
    2,249.49x = 2,662,195.79
  5. Step 5: Solve for x
    x = 2,662,195.79/2,249.49
  6. Step 6: Final answer
    x = 1,183.47

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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.