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Finding the Fourth Proportional to 1,983.27, 2,736.90 and 1,099.05

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Solution

The fourth proportional to 1,983.27, 2,736.90 and 1,099.05 is: 1,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.27 : 2,736.90 = 1,099.05 : x
  2. Step 2: Convert to fraction form
    1,983.27/2,736.90 = 1,099.05/x
  3. Step 3: Cross multiply
    1,983.27x = 2,736.90 × 1,099.05
  4. Step 4: Simplify right side
    1,983.27x = 3,007,989.95
  5. Step 5: Solve for x
    x = 3,007,989.95/1,983.27
  6. Step 6: Final answer
    x = 1,516.68

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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.