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Finding the Fourth Proportional to 2,256.97, 3,385.42 and 613.55

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Solution

The fourth proportional to 2,256.97, 3,385.42 and 613.55 is: 920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.97 : 3,385.42 = 613.55 : x
  2. Step 2: Convert to fraction form
    2,256.97/3,385.42 = 613.55/x
  3. Step 3: Cross multiply
    2,256.97x = 3,385.42 × 613.55
  4. Step 4: Simplify right side
    2,256.97x = 2,077,124.44
  5. Step 5: Solve for x
    x = 2,077,124.44/2,256.97
  6. Step 6: Final answer
    x = 920.32

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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.