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Finding the Fourth Proportional to 1,982.80, 2,974.44 and 684.40

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Solution

The fourth proportional to 1,982.80, 2,974.44 and 684.40 is: 1,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.80 : 2,974.44 = 684.40 : x
  2. Step 2: Convert to fraction form
    1,982.80/2,974.44 = 684.40/x
  3. Step 3: Cross multiply
    1,982.80x = 2,974.44 × 684.40
  4. Step 4: Simplify right side
    1,982.80x = 2,035,706.74
  5. Step 5: Solve for x
    x = 2,035,706.74/1,982.80
  6. Step 6: Final answer
    x = 1,026.68

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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.