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Finding the Fourth Proportional to 1,982.72, 2,974.80 and 684.32

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Solution

The fourth proportional to 1,982.72, 2,974.80 and 684.32 is: 1,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.72 : 2,974.80 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,982.72/2,974.80 = 684.32/x
  3. Step 3: Cross multiply
    1,982.72x = 2,974.80 × 684.32
  4. Step 4: Simplify right side
    1,982.72x = 2,035,715.14
  5. Step 5: Solve for x
    x = 2,035,715.14/1,982.72
  6. Step 6: Final answer
    x = 1,026.73

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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.