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Finding the Fourth Proportional to 2,249.98, 3,375.17 and 1,153.65

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Solution

The fourth proportional to 2,249.98, 3,375.17 and 1,153.65 is: 1,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.98 : 3,375.17 = 1,153.65 : x
  2. Step 2: Convert to fraction form
    2,249.98/3,375.17 = 1,153.65/x
  3. Step 3: Cross multiply
    2,249.98x = 3,375.17 × 1,153.65
  4. Step 4: Simplify right side
    2,249.98x = 3,893,764.87
  5. Step 5: Solve for x
    x = 3,893,764.87/2,249.98
  6. Step 6: Final answer
    x = 1,730.58

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1.5x scale

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.