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Finding the Fourth Proportional to 4,165.65, 6,244.38 and 2,082.54

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Solution

The fourth proportional to 4,165.65, 6,244.38 and 2,082.54 is: 3,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.65 : 6,244.38 = 2,082.54 : x
  2. Step 2: Convert to fraction form
    4,165.65/6,244.38 = 2,082.54/x
  3. Step 3: Cross multiply
    4,165.65x = 6,244.38 × 2,082.54
  4. Step 4: Simplify right side
    4,165.65x = 13,004,171.13
  5. Step 5: Solve for x
    x = 13,004,171.13/4,165.65
  6. Step 6: Final answer
    x = 3,121.76

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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.