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Finding the Fourth Proportional to 2,759.12, 4,138.27 and 1,372

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Solution

The fourth proportional to 2,759.12, 4,138.27 and 1,372 is: 2,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.12 : 4,138.27 = 1,372 : x
  2. Step 2: Convert to fraction form
    2,759.12/4,138.27 = 1,372/x
  3. Step 3: Cross multiply
    2,759.12x = 4,138.27 × 1,372
  4. Step 4: Simplify right side
    2,759.12x = 5,677,706.44
  5. Step 5: Solve for x
    x = 5,677,706.44/2,759.12
  6. Step 6: Final answer
    x = 2,057.80

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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.