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Finding the Fourth Proportional to 2,049.25, 3,074.15 and 662.12

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Solution

The fourth proportional to 2,049.25, 3,074.15 and 662.12 is: 993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.25 : 3,074.15 = 662.12 : x
  2. Step 2: Convert to fraction form
    2,049.25/3,074.15 = 662.12/x
  3. Step 3: Cross multiply
    2,049.25x = 3,074.15 × 662.12
  4. Step 4: Simplify right side
    2,049.25x = 2,035,452.89
  5. Step 5: Solve for x
    x = 2,035,452.89/2,049.25
  6. Step 6: Final answer
    x = 993.27

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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.