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Finding the Fourth Proportional to 2,747.86, 3,787.74 and 2,082.04

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Solution

The fourth proportional to 2,747.86, 3,787.74 and 2,082.04 is: 2,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.86 : 3,787.74 = 2,082.04 : x
  2. Step 2: Convert to fraction form
    2,747.86/3,787.74 = 2,082.04/x
  3. Step 3: Cross multiply
    2,747.86x = 3,787.74 × 2,082.04
  4. Step 4: Simplify right side
    2,747.86x = 7,886,226.19
  5. Step 5: Solve for x
    x = 7,886,226.19/2,747.86
  6. Step 6: Final answer
    x = 2,869.95

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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.