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Finding the Fourth Proportional to 2,876.62, 3,969.76 and 1,682.44

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Solution

The fourth proportional to 2,876.62, 3,969.76 and 1,682.44 is: 2,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.62 : 3,969.76 = 1,682.44 : x
  2. Step 2: Convert to fraction form
    2,876.62/3,969.76 = 1,682.44/x
  3. Step 3: Cross multiply
    2,876.62x = 3,969.76 × 1,682.44
  4. Step 4: Simplify right side
    2,876.62x = 6,678,883.01
  5. Step 5: Solve for x
    x = 6,678,883.01/2,876.62
  6. Step 6: Final answer
    x = 2,321.78

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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.