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Finding the Fourth Proportional to 3,175.66, 4,758.07 and 2,249.68

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Solution

The fourth proportional to 3,175.66, 4,758.07 and 2,249.68 is: 3,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.66 : 4,758.07 = 2,249.68 : x
  2. Step 2: Convert to fraction form
    3,175.66/4,758.07 = 2,249.68/x
  3. Step 3: Cross multiply
    3,175.66x = 4,758.07 × 2,249.68
  4. Step 4: Simplify right side
    3,175.66x = 10,704,134.92
  5. Step 5: Solve for x
    x = 10,704,134.92/3,175.66
  6. Step 6: Final answer
    x = 3,370.68

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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.