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Finding the Fourth Proportional to 1,979.38, 2,969.37 and 681.22

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Solution

The fourth proportional to 1,979.38, 2,969.37 and 681.22 is: 1,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.38 : 2,969.37 = 681.22 : x
  2. Step 2: Convert to fraction form
    1,979.38/2,969.37 = 681.22/x
  3. Step 3: Cross multiply
    1,979.38x = 2,969.37 × 681.22
  4. Step 4: Simplify right side
    1,979.38x = 2,022,794.23
  5. Step 5: Solve for x
    x = 2,022,794.23/1,979.38
  6. Step 6: Final answer
    x = 1,021.93

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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.