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Finding the Fourth Proportional to 2,861.82, 3,949.08 and 1,682.70

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Solution

The fourth proportional to 2,861.82, 3,949.08 and 1,682.70 is: 2,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.82 : 3,949.08 = 1,682.70 : x
  2. Step 2: Convert to fraction form
    2,861.82/3,949.08 = 1,682.70/x
  3. Step 3: Cross multiply
    2,861.82x = 3,949.08 × 1,682.70
  4. Step 4: Simplify right side
    2,861.82x = 6,645,116.92
  5. Step 5: Solve for x
    x = 6,645,116.92/2,861.82
  6. Step 6: Final answer
    x = 2,321.99

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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.