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Finding the Fourth Proportional to 1,983.22, 2,974.84 and 684.70

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Solution

The fourth proportional to 1,983.22, 2,974.84 and 684.70 is: 1,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.22 : 2,974.84 = 684.70 : x
  2. Step 2: Convert to fraction form
    1,983.22/2,974.84 = 684.70/x
  3. Step 3: Cross multiply
    1,983.22x = 2,974.84 × 684.70
  4. Step 4: Simplify right side
    1,983.22x = 2,036,872.95
  5. Step 5: Solve for x
    x = 2,036,872.95/1,983.22
  6. Step 6: Final answer
    x = 1,027.05

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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.