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Finding the Fourth Proportional to 2,067.88, 3,101.82 and 1,964.06

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Solution

The fourth proportional to 2,067.88, 3,101.82 and 1,964.06 is: 2,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.88 : 3,101.82 = 1,964.06 : x
  2. Step 2: Convert to fraction form
    2,067.88/3,101.82 = 1,964.06/x
  3. Step 3: Cross multiply
    2,067.88x = 3,101.82 × 1,964.06
  4. Step 4: Simplify right side
    2,067.88x = 6,092,150.77
  5. Step 5: Solve for x
    x = 6,092,150.77/2,067.88
  6. Step 6: Final answer
    x = 2,946.09

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.