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Finding the Fourth Proportional to 1,552.97, 2,142.85 and 889.69

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Solution

The fourth proportional to 1,552.97, 2,142.85 and 889.69 is: 1,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.97 : 2,142.85 = 889.69 : x
  2. Step 2: Convert to fraction form
    1,552.97/2,142.85 = 889.69/x
  3. Step 3: Cross multiply
    1,552.97x = 2,142.85 × 889.69
  4. Step 4: Simplify right side
    1,552.97x = 1,906,472.22
  5. Step 5: Solve for x
    x = 1,906,472.22/1,552.97
  6. Step 6: Final answer
    x = 1,227.63

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Double scale
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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.