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Finding the Fourth Proportional to 2,067.52, 2,852.02 and 1,227.42

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Solution

The fourth proportional to 2,067.52, 2,852.02 and 1,227.42 is: 1,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.52 : 2,852.02 = 1,227.42 : x
  2. Step 2: Convert to fraction form
    2,067.52/2,852.02 = 1,227.42/x
  3. Step 3: Cross multiply
    2,067.52x = 2,852.02 × 1,227.42
  4. Step 4: Simplify right side
    2,067.52x = 3,500,626.39
  5. Step 5: Solve for x
    x = 3,500,626.39/2,067.52
  6. Step 6: Final answer
    x = 1,693.15

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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.