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Finding the Fourth Proportional to 3,082.73, 4,253.90 and 1,823.72

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Solution

The fourth proportional to 3,082.73, 4,253.90 and 1,823.72 is: 2,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.73 : 4,253.90 = 1,823.72 : x
  2. Step 2: Convert to fraction form
    3,082.73/4,253.90 = 1,823.72/x
  3. Step 3: Cross multiply
    3,082.73x = 4,253.90 × 1,823.72
  4. Step 4: Simplify right side
    3,082.73x = 7,757,892.12
  5. Step 5: Solve for x
    x = 7,757,892.12/3,082.73
  6. Step 6: Final answer
    x = 2,516.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.