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Finding the Fourth Proportional to 2,057.62, 3,082.51 and 1,222.91

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Solution

The fourth proportional to 2,057.62, 3,082.51 and 1,222.91 is: 1,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.62 : 3,082.51 = 1,222.91 : x
  2. Step 2: Convert to fraction form
    2,057.62/3,082.51 = 1,222.91/x
  3. Step 3: Cross multiply
    2,057.62x = 3,082.51 × 1,222.91
  4. Step 4: Simplify right side
    2,057.62x = 3,769,632.30
  5. Step 5: Solve for x
    x = 3,769,632.30/2,057.62
  6. Step 6: Final answer
    x = 1,832.04

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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.