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Finding the Fourth Proportional to 1,983.53, 2,737.50 and 1,099.55

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Solution

The fourth proportional to 1,983.53, 2,737.50 and 1,099.55 is: 1,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.53 : 2,737.50 = 1,099.55 : x
  2. Step 2: Convert to fraction form
    1,983.53/2,737.50 = 1,099.55/x
  3. Step 3: Cross multiply
    1,983.53x = 2,737.50 × 1,099.55
  4. Step 4: Simplify right side
    1,983.53x = 3,010,020.85
  5. Step 5: Solve for x
    x = 3,010,020.85/1,983.53
  6. Step 6: Final answer
    x = 1,517.51

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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.