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Finding the Fourth Proportional to 2,297.52, 3,446.28 and 758.52

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Solution

The fourth proportional to 2,297.52, 3,446.28 and 758.52 is: 1,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.52 : 3,446.28 = 758.52 : x
  2. Step 2: Convert to fraction form
    2,297.52/3,446.28 = 758.52/x
  3. Step 3: Cross multiply
    2,297.52x = 3,446.28 × 758.52
  4. Step 4: Simplify right side
    2,297.52x = 2,614,072.31
  5. Step 5: Solve for x
    x = 2,614,072.31/2,297.52
  6. Step 6: Final answer
    x = 1,137.78

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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.