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Finding the Fourth Proportional to 2,255.97, 3,383.92 and 612.55

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Solution

The fourth proportional to 2,255.97, 3,383.92 and 612.55 is: 918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.97 : 3,383.92 = 612.55 : x
  2. Step 2: Convert to fraction form
    2,255.97/3,383.92 = 612.55/x
  3. Step 3: Cross multiply
    2,255.97x = 3,383.92 × 612.55
  4. Step 4: Simplify right side
    2,255.97x = 2,072,820.20
  5. Step 5: Solve for x
    x = 2,072,820.20/2,255.97
  6. Step 6: Final answer
    x = 918.82

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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.