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Finding the Fourth Proportional to 2,676.97, 3,694.25 and 1,614.79

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Solution

The fourth proportional to 2,676.97, 3,694.25 and 1,614.79 is: 2,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.97 : 3,694.25 = 1,614.79 : x
  2. Step 2: Convert to fraction form
    2,676.97/3,694.25 = 1,614.79/x
  3. Step 3: Cross multiply
    2,676.97x = 3,694.25 × 1,614.79
  4. Step 4: Simplify right side
    2,676.97x = 5,965,437.96
  5. Step 5: Solve for x
    x = 5,965,437.96/2,676.97
  6. Step 6: Final answer
    x = 2,228.43

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1.5x scale

Why These Related Problems?

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