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Finding the Fourth Proportional to 2,820.96, 3,891.23 and 2,076.84

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Solution

The fourth proportional to 2,820.96, 3,891.23 and 2,076.84 is: 2,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.96 : 3,891.23 = 2,076.84 : x
  2. Step 2: Convert to fraction form
    2,820.96/3,891.23 = 2,076.84/x
  3. Step 3: Cross multiply
    2,820.96x = 3,891.23 × 2,076.84
  4. Step 4: Simplify right side
    2,820.96x = 8,081,481.90
  5. Step 5: Solve for x
    x = 8,081,481.90/2,820.96
  6. Step 6: Final answer
    x = 2,864.79

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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.