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Finding the Fourth Proportional to 2,497.80, 3,745.99 and 742.73

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Solution

The fourth proportional to 2,497.80, 3,745.99 and 742.73 is: 1,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.80 : 3,745.99 = 742.73 : x
  2. Step 2: Convert to fraction form
    2,497.80/3,745.99 = 742.73/x
  3. Step 3: Cross multiply
    2,497.80x = 3,745.99 × 742.73
  4. Step 4: Simplify right side
    2,497.80x = 2,782,255.44
  5. Step 5: Solve for x
    x = 2,782,255.44/2,497.80
  6. Step 6: Final answer
    x = 1,113.88

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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.