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Finding the Fourth Proportional to 2,321.70, 3,481.74 and 1,442.85

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Solution

The fourth proportional to 2,321.70, 3,481.74 and 1,442.85 is: 2,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.70 : 3,481.74 = 1,442.85 : x
  2. Step 2: Convert to fraction form
    2,321.70/3,481.74 = 1,442.85/x
  3. Step 3: Cross multiply
    2,321.70x = 3,481.74 × 1,442.85
  4. Step 4: Simplify right side
    2,321.70x = 5,023,628.56
  5. Step 5: Solve for x
    x = 5,023,628.56/2,321.70
  6. Step 6: Final answer
    x = 2,163.77

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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.