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Finding the Fourth Proportional to 2,255.85, 3,382.56 and 938.79

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Solution

The fourth proportional to 2,255.85, 3,382.56 and 938.79 is: 1,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.85 : 3,382.56 = 938.79 : x
  2. Step 2: Convert to fraction form
    2,255.85/3,382.56 = 938.79/x
  3. Step 3: Cross multiply
    2,255.85x = 3,382.56 × 938.79
  4. Step 4: Simplify right side
    2,255.85x = 3,175,513.50
  5. Step 5: Solve for x
    x = 3,175,513.50/2,255.85
  6. Step 6: Final answer
    x = 1,407.68

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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.