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Finding the Fourth Proportional to 1,982.43, 2,974.38 and 684

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Solution

The fourth proportional to 1,982.43, 2,974.38 and 684 is: 1,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.43 : 2,974.38 = 684 : x
  2. Step 2: Convert to fraction form
    1,982.43/2,974.38 = 684/x
  3. Step 3: Cross multiply
    1,982.43x = 2,974.38 × 684
  4. Step 4: Simplify right side
    1,982.43x = 2,034,475.92
  5. Step 5: Solve for x
    x = 2,034,475.92/1,982.43
  6. Step 6: Final answer
    x = 1,026.25

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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.