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Finding the Fourth Proportional to 2,722.62, 3,758.34 and 2,059.68

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Solution

The fourth proportional to 2,722.62, 3,758.34 and 2,059.68 is: 2,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.62 : 3,758.34 = 2,059.68 : x
  2. Step 2: Convert to fraction form
    2,722.62/3,758.34 = 2,059.68/x
  3. Step 3: Cross multiply
    2,722.62x = 3,758.34 × 2,059.68
  4. Step 4: Simplify right side
    2,722.62x = 7,740,977.73
  5. Step 5: Solve for x
    x = 7,740,977.73/2,722.62
  6. Step 6: Final answer
    x = 2,843.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.