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Finding the Fourth Proportional to 3,183.54, 4,775.81 and 1,540.21

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Solution

The fourth proportional to 3,183.54, 4,775.81 and 1,540.21 is: 2,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.54 : 4,775.81 = 1,540.21 : x
  2. Step 2: Convert to fraction form
    3,183.54/4,775.81 = 1,540.21/x
  3. Step 3: Cross multiply
    3,183.54x = 4,775.81 × 1,540.21
  4. Step 4: Simplify right side
    3,183.54x = 7,355,750.32
  5. Step 5: Solve for x
    x = 7,355,750.32/3,183.54
  6. Step 6: Final answer
    x = 2,310.56

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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.