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Finding the Fourth Proportional to 2,696.43, 3,720.18 and 2,198.21

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Solution

The fourth proportional to 2,696.43, 3,720.18 and 2,198.21 is: 3,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.43 : 3,720.18 = 2,198.21 : x
  2. Step 2: Convert to fraction form
    2,696.43/3,720.18 = 2,198.21/x
  3. Step 3: Cross multiply
    2,696.43x = 3,720.18 × 2,198.21
  4. Step 4: Simplify right side
    2,696.43x = 8,177,736.88
  5. Step 5: Solve for x
    x = 8,177,736.88/2,696.43
  6. Step 6: Final answer
    x = 3,032.80

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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.