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Finding the Fourth Proportional to 3,183.24, 4,775.28 and 991.68

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Solution

The fourth proportional to 3,183.24, 4,775.28 and 991.68 is: 1,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.24 : 4,775.28 = 991.68 : x
  2. Step 2: Convert to fraction form
    3,183.24/4,775.28 = 991.68/x
  3. Step 3: Cross multiply
    3,183.24x = 4,775.28 × 991.68
  4. Step 4: Simplify right side
    3,183.24x = 4,735,549.67
  5. Step 5: Solve for x
    x = 4,735,549.67/3,183.24
  6. Step 6: Final answer
    x = 1,487.65

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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.