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Finding the Fourth Proportional to 1,979.82, 2,969.73 and 681.19

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Solution

The fourth proportional to 1,979.82, 2,969.73 and 681.19 is: 1,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.82 : 2,969.73 = 681.19 : x
  2. Step 2: Convert to fraction form
    1,979.82/2,969.73 = 681.19/x
  3. Step 3: Cross multiply
    1,979.82x = 2,969.73 × 681.19
  4. Step 4: Simplify right side
    1,979.82x = 2,022,942.95
  5. Step 5: Solve for x
    x = 2,022,942.95/1,979.82
  6. Step 6: Final answer
    x = 1,021.78

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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.