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Finding the Fourth Proportional to 2,082.12, 3,121.00 and 985.17

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Solution

The fourth proportional to 2,082.12, 3,121.00 and 985.17 is: 1,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.12 : 3,121.00 = 985.17 : x
  2. Step 2: Convert to fraction form
    2,082.12/3,121.00 = 985.17/x
  3. Step 3: Cross multiply
    2,082.12x = 3,121.00 × 985.17
  4. Step 4: Simplify right side
    2,082.12x = 3,074,724.81
  5. Step 5: Solve for x
    x = 3,074,724.81/2,082.12
  6. Step 6: Final answer
    x = 1,476.73

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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.