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Finding the Fourth Proportional to 3,183.76, 4,776.20 and 1,452.56

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Solution

The fourth proportional to 3,183.76, 4,776.20 and 1,452.56 is: 2,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.76 : 4,776.20 = 1,452.56 : x
  2. Step 2: Convert to fraction form
    3,183.76/4,776.20 = 1,452.56/x
  3. Step 3: Cross multiply
    3,183.76x = 4,776.20 × 1,452.56
  4. Step 4: Simplify right side
    3,183.76x = 6,937,717.07
  5. Step 5: Solve for x
    x = 6,937,717.07/3,183.76
  6. Step 6: Final answer
    x = 2,179.10

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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.