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Finding the Fourth Proportional to 2,183.28, 3,274.83 and 950.69

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Solution

The fourth proportional to 2,183.28, 3,274.83 and 950.69 is: 1,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.28 : 3,274.83 = 950.69 : x
  2. Step 2: Convert to fraction form
    2,183.28/3,274.83 = 950.69/x
  3. Step 3: Cross multiply
    2,183.28x = 3,274.83 × 950.69
  4. Step 4: Simplify right side
    2,183.28x = 3,113,331.76
  5. Step 5: Solve for x
    x = 3,113,331.76/2,183.28
  6. Step 6: Final answer
    x = 1,425.99

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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.