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Finding the Fourth Proportional to 1,616.34, 2,227.42 and 1,149.78

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Solution

The fourth proportional to 1,616.34, 2,227.42 and 1,149.78 is: 1,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.34 : 2,227.42 = 1,149.78 : x
  2. Step 2: Convert to fraction form
    1,616.34/2,227.42 = 1,149.78/x
  3. Step 3: Cross multiply
    1,616.34x = 2,227.42 × 1,149.78
  4. Step 4: Simplify right side
    1,616.34x = 2,561,042.97
  5. Step 5: Solve for x
    x = 2,561,042.97/1,616.34
  6. Step 6: Final answer
    x = 1,584.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.