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Finding the Fourth Proportional to 1,906.54, 2,630.91 and 1,067.23

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Solution

The fourth proportional to 1,906.54, 2,630.91 and 1,067.23 is: 1,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.54 : 2,630.91 = 1,067.23 : x
  2. Step 2: Convert to fraction form
    1,906.54/2,630.91 = 1,067.23/x
  3. Step 3: Cross multiply
    1,906.54x = 2,630.91 × 1,067.23
  4. Step 4: Simplify right side
    1,906.54x = 2,807,786.08
  5. Step 5: Solve for x
    x = 2,807,786.08/1,906.54
  6. Step 6: Final answer
    x = 1,472.71

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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.