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Finding the Fourth Proportional to 1,896.22, 2,617.12 and 1,099.43

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Solution

The fourth proportional to 1,896.22, 2,617.12 and 1,099.43 is: 1,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.22 : 2,617.12 = 1,099.43 : x
  2. Step 2: Convert to fraction form
    1,896.22/2,617.12 = 1,099.43/x
  3. Step 3: Cross multiply
    1,896.22x = 2,617.12 × 1,099.43
  4. Step 4: Simplify right side
    1,896.22x = 2,877,338.34
  5. Step 5: Solve for x
    x = 2,877,338.34/1,896.22
  6. Step 6: Final answer
    x = 1,517.41

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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.