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Finding the Fourth Proportional to 2,082.46, 3,108.50 and 1,819.72

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Solution

The fourth proportional to 2,082.46, 3,108.50 and 1,819.72 is: 2,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.46 : 3,108.50 = 1,819.72 : x
  2. Step 2: Convert to fraction form
    2,082.46/3,108.50 = 1,819.72/x
  3. Step 3: Cross multiply
    2,082.46x = 3,108.50 × 1,819.72
  4. Step 4: Simplify right side
    2,082.46x = 5,656,590.52
  5. Step 5: Solve for x
    x = 5,656,590.52/2,082.46
  6. Step 6: Final answer
    x = 2,716.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.