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Finding the Fourth Proportional to 2,469.92, 3,701.72 and 1,082.88

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Solution

The fourth proportional to 2,469.92, 3,701.72 and 1,082.88 is: 1,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.92 : 3,701.72 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    2,469.92/3,701.72 = 1,082.88/x
  3. Step 3: Cross multiply
    2,469.92x = 3,701.72 × 1,082.88
  4. Step 4: Simplify right side
    2,469.92x = 4,008,513.14
  5. Step 5: Solve for x
    x = 4,008,513.14/2,469.92
  6. Step 6: Final answer
    x = 1,622.94

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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.