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Finding the Fourth Proportional to 1,863.57, 2,571.74 and 1,067.07

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Solution

The fourth proportional to 1,863.57, 2,571.74 and 1,067.07 is: 1,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.57 : 2,571.74 = 1,067.07 : x
  2. Step 2: Convert to fraction form
    1,863.57/2,571.74 = 1,067.07/x
  3. Step 3: Cross multiply
    1,863.57x = 2,571.74 × 1,067.07
  4. Step 4: Simplify right side
    1,863.57x = 2,744,234.91
  5. Step 5: Solve for x
    x = 2,744,234.91/1,863.57
  6. Step 6: Final answer
    x = 1,472.57

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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.