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Finding the Fourth Proportional to 1,982.70, 2,974.52 and 684.14

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Solution

The fourth proportional to 1,982.70, 2,974.52 and 684.14 is: 1,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.70 : 2,974.52 = 684.14 : x
  2. Step 2: Convert to fraction form
    1,982.70/2,974.52 = 684.14/x
  3. Step 3: Cross multiply
    1,982.70x = 2,974.52 × 684.14
  4. Step 4: Simplify right side
    1,982.70x = 2,034,988.11
  5. Step 5: Solve for x
    x = 2,034,988.11/1,982.70
  6. Step 6: Final answer
    x = 1,026.37

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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.