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Finding the Fourth Proportional to 2,183.42, 3,276.99 and 951.82

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Solution

The fourth proportional to 2,183.42, 3,276.99 and 951.82 is: 1,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.42 : 3,276.99 = 951.82 : x
  2. Step 2: Convert to fraction form
    2,183.42/3,276.99 = 951.82/x
  3. Step 3: Cross multiply
    2,183.42x = 3,276.99 × 951.82
  4. Step 4: Simplify right side
    2,183.42x = 3,119,096.43
  5. Step 5: Solve for x
    x = 3,119,096.43/2,183.42
  6. Step 6: Final answer
    x = 1,428.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.