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Finding the Fourth Proportional to 2,694.96, 4,067.64 and 2,694.96

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Solution

The fourth proportional to 2,694.96, 4,067.64 and 2,694.96 is: 4,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.96 : 4,067.64 = 2,694.96 : x
  2. Step 2: Convert to fraction form
    2,694.96/4,067.64 = 2,694.96/x
  3. Step 3: Cross multiply
    2,694.96x = 4,067.64 × 2,694.96
  4. Step 4: Simplify right side
    2,694.96x = 10,962,127.09
  5. Step 5: Solve for x
    x = 10,962,127.09/2,694.96
  6. Step 6: Final answer
    x = 4,067.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.