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Finding the Fourth Proportional to 2,183.31, 3,274.25 and 722.07

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Solution

The fourth proportional to 2,183.31, 3,274.25 and 722.07 is: 1,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.31 : 3,274.25 = 722.07 : x
  2. Step 2: Convert to fraction form
    2,183.31/3,274.25 = 722.07/x
  3. Step 3: Cross multiply
    2,183.31x = 3,274.25 × 722.07
  4. Step 4: Simplify right side
    2,183.31x = 2,364,234.09
  5. Step 5: Solve for x
    x = 2,364,234.09/2,183.31
  6. Step 6: Final answer
    x = 1,082.87

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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.