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Finding the Fourth Proportional to 2,249.74, 3,368.55 and 1,467.80

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Solution

The fourth proportional to 2,249.74, 3,368.55 and 1,467.80 is: 2,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.74 : 3,368.55 = 1,467.80 : x
  2. Step 2: Convert to fraction form
    2,249.74/3,368.55 = 1,467.80/x
  3. Step 3: Cross multiply
    2,249.74x = 3,368.55 × 1,467.80
  4. Step 4: Simplify right side
    2,249.74x = 4,944,371.62
  5. Step 5: Solve for x
    x = 4,944,371.62/2,249.74
  6. Step 6: Final answer
    x = 2,197.75

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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.