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Finding the Fourth Proportional to 2,082.31, 3,122.55 and 986.99

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Solution

The fourth proportional to 2,082.31, 3,122.55 and 986.99 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.31 : 3,122.55 = 986.99 : x
  2. Step 2: Convert to fraction form
    2,082.31/3,122.55 = 986.99/x
  3. Step 3: Cross multiply
    2,082.31x = 3,122.55 × 986.99
  4. Step 4: Simplify right side
    2,082.31x = 3,081,910.01
  5. Step 5: Solve for x
    x = 3,081,910.01/2,082.31
  6. Step 6: Final answer
    x = 1,480.05

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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.