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Finding the Fourth Proportional to 1,982.80, 2,992.03 and 1,910.44

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Solution

The fourth proportional to 1,982.80, 2,992.03 and 1,910.44 is: 2,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.80 : 2,992.03 = 1,910.44 : x
  2. Step 2: Convert to fraction form
    1,982.80/2,992.03 = 1,910.44/x
  3. Step 3: Cross multiply
    1,982.80x = 2,992.03 × 1,910.44
  4. Step 4: Simplify right side
    1,982.80x = 5,716,093.79
  5. Step 5: Solve for x
    x = 5,716,093.79/1,982.80
  6. Step 6: Final answer
    x = 2,882.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.