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Finding the Fourth Proportional to 1,324.16, 1,986.72 and 1,082.24

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Solution

The fourth proportional to 1,324.16, 1,986.72 and 1,082.24 is: 1,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.16 : 1,986.72 = 1,082.24 : x
  2. Step 2: Convert to fraction form
    1,324.16/1,986.72 = 1,082.24/x
  3. Step 3: Cross multiply
    1,324.16x = 1,986.72 × 1,082.24
  4. Step 4: Simplify right side
    1,324.16x = 2,150,107.85
  5. Step 5: Solve for x
    x = 2,150,107.85/1,324.16
  6. Step 6: Final answer
    x = 1,623.75

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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.