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Finding the Fourth Proportional to 2,067.84, 3,102.23 and 681.12

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Solution

The fourth proportional to 2,067.84, 3,102.23 and 681.12 is: 1,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.84 : 3,102.23 = 681.12 : x
  2. Step 2: Convert to fraction form
    2,067.84/3,102.23 = 681.12/x
  3. Step 3: Cross multiply
    2,067.84x = 3,102.23 × 681.12
  4. Step 4: Simplify right side
    2,067.84x = 2,113,001.68
  5. Step 5: Solve for x
    x = 2,113,001.68/2,067.84
  6. Step 6: Final answer
    x = 1,021.84

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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.