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Finding the Fourth Proportional to 2,082.99, 2,874.24 and 1,769.52

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Solution

The fourth proportional to 2,082.99, 2,874.24 and 1,769.52 is: 2,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.99 : 2,874.24 = 1,769.52 : x
  2. Step 2: Convert to fraction form
    2,082.99/2,874.24 = 1,769.52/x
  3. Step 3: Cross multiply
    2,082.99x = 2,874.24 × 1,769.52
  4. Step 4: Simplify right side
    2,082.99x = 5,086,025.16
  5. Step 5: Solve for x
    x = 5,086,025.16/2,082.99
  6. Step 6: Final answer
    x = 2,441.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.