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Finding the Fourth Proportional to 3,183.67, 4,775.73 and 1,332.92

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Solution

The fourth proportional to 3,183.67, 4,775.73 and 1,332.92 is: 1,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.67 : 4,775.73 = 1,332.92 : x
  2. Step 2: Convert to fraction form
    3,183.67/4,775.73 = 1,332.92/x
  3. Step 3: Cross multiply
    3,183.67x = 4,775.73 × 1,332.92
  4. Step 4: Simplify right side
    3,183.67x = 6,365,672.97
  5. Step 5: Solve for x
    x = 6,365,672.97/3,183.67
  6. Step 6: Final answer
    x = 1,999.48

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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.