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Finding the Fourth Proportional to 2,567.96, 3,848.22 and 1,396.97

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Solution

The fourth proportional to 2,567.96, 3,848.22 and 1,396.97 is: 2,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.96 : 3,848.22 = 1,396.97 : x
  2. Step 2: Convert to fraction form
    2,567.96/3,848.22 = 1,396.97/x
  3. Step 3: Cross multiply
    2,567.96x = 3,848.22 × 1,396.97
  4. Step 4: Simplify right side
    2,567.96x = 5,375,847.89
  5. Step 5: Solve for x
    x = 5,375,847.89/2,567.96
  6. Step 6: Final answer
    x = 2,093.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.