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Finding the Fourth Proportional to 2,183.10, 3,274.65 and 1,142.70

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Solution

The fourth proportional to 2,183.10, 3,274.65 and 1,142.70 is: 1,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.10 : 3,274.65 = 1,142.70 : x
  2. Step 2: Convert to fraction form
    2,183.10/3,274.65 = 1,142.70/x
  3. Step 3: Cross multiply
    2,183.10x = 3,274.65 × 1,142.70
  4. Step 4: Simplify right side
    2,183.10x = 3,741,942.56
  5. Step 5: Solve for x
    x = 3,741,942.56/2,183.10
  6. Step 6: Final answer
    x = 1,714.05

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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.