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Finding the Fourth Proportional to 3,183.73, 4,773.75 and 1,233.65

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Solution

The fourth proportional to 3,183.73, 4,773.75 and 1,233.65 is: 1,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.73 : 4,773.75 = 1,233.65 : x
  2. Step 2: Convert to fraction form
    3,183.73/4,773.75 = 1,233.65/x
  3. Step 3: Cross multiply
    3,183.73x = 4,773.75 × 1,233.65
  4. Step 4: Simplify right side
    3,183.73x = 5,889,136.69
  5. Step 5: Solve for x
    x = 5,889,136.69/3,183.73
  6. Step 6: Final answer
    x = 1,849.76

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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.