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Finding the Fourth Proportional to 2,696.97, 3,723.93 and 2,109.18

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Solution

The fourth proportional to 2,696.97, 3,723.93 and 2,109.18 is: 2,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.97 : 3,723.93 = 2,109.18 : x
  2. Step 2: Convert to fraction form
    2,696.97/3,723.93 = 2,109.18/x
  3. Step 3: Cross multiply
    2,696.97x = 3,723.93 × 2,109.18
  4. Step 4: Simplify right side
    2,696.97x = 7,854,438.68
  5. Step 5: Solve for x
    x = 7,854,438.68/2,696.97
  6. Step 6: Final answer
    x = 2,912.32

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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.