Home / 2,082.26-3,123.58-849.76

Finding the Fourth Proportional to 2,082.26, 3,123.58 and 849.76

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Solution

The fourth proportional to 2,082.26, 3,123.58 and 849.76 is: 1,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.26 : 3,123.58 = 849.76 : x
  2. Step 2: Convert to fraction form
    2,082.26/3,123.58 = 849.76/x
  3. Step 3: Cross multiply
    2,082.26x = 3,123.58 × 849.76
  4. Step 4: Simplify right side
    2,082.26x = 2,654,293.34
  5. Step 5: Solve for x
    x = 2,654,293.34/2,082.26
  6. Step 6: Final answer
    x = 1,274.72

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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.