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Finding the Fourth Proportional to 1,979.13, 2,968.97 and 680.25

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Solution

The fourth proportional to 1,979.13, 2,968.97 and 680.25 is: 1,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.13 : 2,968.97 = 680.25 : x
  2. Step 2: Convert to fraction form
    1,979.13/2,968.97 = 680.25/x
  3. Step 3: Cross multiply
    1,979.13x = 2,968.97 × 680.25
  4. Step 4: Simplify right side
    1,979.13x = 2,019,638.44
  5. Step 5: Solve for x
    x = 2,019,638.44/1,979.13
  6. Step 6: Final answer
    x = 1,020.47

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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.