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Finding the Fourth Proportional to 3,183.76, 4,777.28 and 1,311.04

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Solution

The fourth proportional to 3,183.76, 4,777.28 and 1,311.04 is: 1,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.76 : 4,777.28 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    3,183.76/4,777.28 = 1,311.04/x
  3. Step 3: Cross multiply
    3,183.76x = 4,777.28 × 1,311.04
  4. Step 4: Simplify right side
    3,183.76x = 6,263,205.17
  5. Step 5: Solve for x
    x = 6,263,205.17/3,183.76
  6. Step 6: Final answer
    x = 1,967.24

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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.