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Finding the Fourth Proportional to 2,297.96, 3,447.08 and 758.96

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Solution

The fourth proportional to 2,297.96, 3,447.08 and 758.96 is: 1,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.96 : 3,447.08 = 758.96 : x
  2. Step 2: Convert to fraction form
    2,297.96/3,447.08 = 758.96/x
  3. Step 3: Cross multiply
    2,297.96x = 3,447.08 × 758.96
  4. Step 4: Simplify right side
    2,297.96x = 2,616,195.84
  5. Step 5: Solve for x
    x = 2,616,195.84/2,297.96
  6. Step 6: Final answer
    x = 1,138.49

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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.