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Finding the Fourth Proportional to 2,249.68, 3,375.05 and 1,017.09

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Solution

The fourth proportional to 2,249.68, 3,375.05 and 1,017.09 is: 1,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.68 : 3,375.05 = 1,017.09 : x
  2. Step 2: Convert to fraction form
    2,249.68/3,375.05 = 1,017.09/x
  3. Step 3: Cross multiply
    2,249.68x = 3,375.05 × 1,017.09
  4. Step 4: Simplify right side
    2,249.68x = 3,432,734.53
  5. Step 5: Solve for x
    x = 3,432,734.53/2,249.68
  6. Step 6: Final answer
    x = 1,525.88

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Why These Related Problems?

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