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Finding the Fourth Proportional to 1,382.67, 2,082.05 and 1,019.99

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Solution

The fourth proportional to 1,382.67, 2,082.05 and 1,019.99 is: 1,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.67 : 2,082.05 = 1,019.99 : x
  2. Step 2: Convert to fraction form
    1,382.67/2,082.05 = 1,019.99/x
  3. Step 3: Cross multiply
    1,382.67x = 2,082.05 × 1,019.99
  4. Step 4: Simplify right side
    1,382.67x = 2,123,679.85
  5. Step 5: Solve for x
    x = 2,123,679.85/1,382.67
  6. Step 6: Final answer
    x = 1,535.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.