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Finding the Fourth Proportional to 2,567.26, 3,832.31 and 2,255.87

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Solution

The fourth proportional to 2,567.26, 3,832.31 and 2,255.87 is: 3,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.26 : 3,832.31 = 2,255.87 : x
  2. Step 2: Convert to fraction form
    2,567.26/3,832.31 = 2,255.87/x
  3. Step 3: Cross multiply
    2,567.26x = 3,832.31 × 2,255.87
  4. Step 4: Simplify right side
    2,567.26x = 8,645,174.00
  5. Step 5: Solve for x
    x = 8,645,174.00/2,567.26
  6. Step 6: Final answer
    x = 3,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.