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Finding the Fourth Proportional to 2,067.98, 3,102.39 and 681.40

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Solution

The fourth proportional to 2,067.98, 3,102.39 and 681.40 is: 1,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.98 : 3,102.39 = 681.40 : x
  2. Step 2: Convert to fraction form
    2,067.98/3,102.39 = 681.40/x
  3. Step 3: Cross multiply
    2,067.98x = 3,102.39 × 681.40
  4. Step 4: Simplify right side
    2,067.98x = 2,113,953.03
  5. Step 5: Solve for x
    x = 2,113,953.03/2,067.98
  6. Step 6: Final answer
    x = 1,022.23

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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.