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Finding the Fourth Proportional to 2,979.50, 4,107.84 and 2,446.40

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Solution

The fourth proportional to 2,979.50, 4,107.84 and 2,446.40 is: 3,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.50 : 4,107.84 = 2,446.40 : x
  2. Step 2: Convert to fraction form
    2,979.50/4,107.84 = 2,446.40/x
  3. Step 3: Cross multiply
    2,979.50x = 4,107.84 × 2,446.40
  4. Step 4: Simplify right side
    2,979.50x = 10,049,419.78
  5. Step 5: Solve for x
    x = 10,049,419.78/2,979.50
  6. Step 6: Final answer
    x = 3,372.85

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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.