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Finding the Fourth Proportional to 2,855.52, 3,939.20 and 1,861.38

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Solution

The fourth proportional to 2,855.52, 3,939.20 and 1,861.38 is: 2,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.52 : 3,939.20 = 1,861.38 : x
  2. Step 2: Convert to fraction form
    2,855.52/3,939.20 = 1,861.38/x
  3. Step 3: Cross multiply
    2,855.52x = 3,939.20 × 1,861.38
  4. Step 4: Simplify right side
    2,855.52x = 7,332,348.10
  5. Step 5: Solve for x
    x = 7,332,348.10/2,855.52
  6. Step 6: Final answer
    x = 2,567.78

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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.