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Finding the Fourth Proportional to 2,694.40, 4,013.28 and 2,568

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Solution

The fourth proportional to 2,694.40, 4,013.28 and 2,568 is: 3,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.40 : 4,013.28 = 2,568 : x
  2. Step 2: Convert to fraction form
    2,694.40/4,013.28 = 2,568/x
  3. Step 3: Cross multiply
    2,694.40x = 4,013.28 × 2,568
  4. Step 4: Simplify right side
    2,694.40x = 10,306,103.04
  5. Step 5: Solve for x
    x = 10,306,103.04/2,694.40
  6. Step 6: Final answer
    x = 3,825.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.