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Finding the Fourth Proportional to 2,049.69, 3,073.89 and 662.69

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Solution

The fourth proportional to 2,049.69, 3,073.89 and 662.69 is: 993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.69 : 3,073.89 = 662.69 : x
  2. Step 2: Convert to fraction form
    2,049.69/3,073.89 = 662.69/x
  3. Step 3: Cross multiply
    2,049.69x = 3,073.89 × 662.69
  4. Step 4: Simplify right side
    2,049.69x = 2,037,036.16
  5. Step 5: Solve for x
    x = 2,037,036.16/2,049.69
  6. Step 6: Final answer
    x = 993.83

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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.