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Finding the Fourth Proportional to 2,676.88, 3,694.46 and 1,614.70

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Solution

The fourth proportional to 2,676.88, 3,694.46 and 1,614.70 is: 2,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.88 : 3,694.46 = 1,614.70 : x
  2. Step 2: Convert to fraction form
    2,676.88/3,694.46 = 1,614.70/x
  3. Step 3: Cross multiply
    2,676.88x = 3,694.46 × 1,614.70
  4. Step 4: Simplify right side
    2,676.88x = 5,965,444.56
  5. Step 5: Solve for x
    x = 5,965,444.56/2,676.88
  6. Step 6: Final answer
    x = 2,228.51

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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.