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Finding the Fourth Proportional to 2,567.46, 3,847.47 and 1,396.47

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Solution

The fourth proportional to 2,567.46, 3,847.47 and 1,396.47 is: 2,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.46 : 3,847.47 = 1,396.47 : x
  2. Step 2: Convert to fraction form
    2,567.46/3,847.47 = 1,396.47/x
  3. Step 3: Cross multiply
    2,567.46x = 3,847.47 × 1,396.47
  4. Step 4: Simplify right side
    2,567.46x = 5,372,876.43
  5. Step 5: Solve for x
    x = 5,372,876.43/2,567.46
  6. Step 6: Final answer
    x = 2,092.68

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