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Finding the Fourth Proportional to 2,082.83, 3,124.19 and 849.92

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Solution

The fourth proportional to 2,082.83, 3,124.19 and 849.92 is: 1,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.83 : 3,124.19 = 849.92 : x
  2. Step 2: Convert to fraction form
    2,082.83/3,124.19 = 849.92/x
  3. Step 3: Cross multiply
    2,082.83x = 3,124.19 × 849.92
  4. Step 4: Simplify right side
    2,082.83x = 2,655,291.69
  5. Step 5: Solve for x
    x = 2,655,291.69/2,082.83
  6. Step 6: Final answer
    x = 1,274.85

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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.