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Finding the Fourth Proportional to 2,082.67, 3,123.14 and 1,041.43

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Solution

The fourth proportional to 2,082.67, 3,123.14 and 1,041.43 is: 1,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.67 : 3,123.14 = 1,041.43 : x
  2. Step 2: Convert to fraction form
    2,082.67/3,123.14 = 1,041.43/x
  3. Step 3: Cross multiply
    2,082.67x = 3,123.14 × 1,041.43
  4. Step 4: Simplify right side
    2,082.67x = 3,252,531.69
  5. Step 5: Solve for x
    x = 3,252,531.69/2,082.67
  6. Step 6: Final answer
    x = 1,561.71

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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.