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Finding the Fourth Proportional to 2,819.88, 3,887.82 and 2,189.34

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Solution

The fourth proportional to 2,819.88, 3,887.82 and 2,189.34 is: 3,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.88 : 3,887.82 = 2,189.34 : x
  2. Step 2: Convert to fraction form
    2,819.88/3,887.82 = 2,189.34/x
  3. Step 3: Cross multiply
    2,819.88x = 3,887.82 × 2,189.34
  4. Step 4: Simplify right side
    2,819.88x = 8,511,759.84
  5. Step 5: Solve for x
    x = 8,511,759.84/2,819.88
  6. Step 6: Final answer
    x = 3,018.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.