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Finding the Fourth Proportional to 3,082.92, 4,622.67 and 1,519.49

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Solution

The fourth proportional to 3,082.92, 4,622.67 and 1,519.49 is: 2,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.92 : 4,622.67 = 1,519.49 : x
  2. Step 2: Convert to fraction form
    3,082.92/4,622.67 = 1,519.49/x
  3. Step 3: Cross multiply
    3,082.92x = 4,622.67 × 1,519.49
  4. Step 4: Simplify right side
    3,082.92x = 7,024,077.72
  5. Step 5: Solve for x
    x = 7,024,077.72/3,082.92
  6. Step 6: Final answer
    x = 2,278.38

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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.