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Finding the Fourth Proportional to 1,982.82, 2,974.23 and 684.19

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Solution

The fourth proportional to 1,982.82, 2,974.23 and 684.19 is: 1,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.82 : 2,974.23 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,982.82/2,974.23 = 684.19/x
  3. Step 3: Cross multiply
    1,982.82x = 2,974.23 × 684.19
  4. Step 4: Simplify right side
    1,982.82x = 2,034,938.42
  5. Step 5: Solve for x
    x = 2,034,938.42/1,982.82
  6. Step 6: Final answer
    x = 1,026.29

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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.