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Finding the Fourth Proportional to 1,983.95, 2,737.86 and 1,099.77

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Solution

The fourth proportional to 1,983.95, 2,737.86 and 1,099.77 is: 1,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.95 : 2,737.86 = 1,099.77 : x
  2. Step 2: Convert to fraction form
    1,983.95/2,737.86 = 1,099.77/x
  3. Step 3: Cross multiply
    1,983.95x = 2,737.86 × 1,099.77
  4. Step 4: Simplify right side
    1,983.95x = 3,011,016.29
  5. Step 5: Solve for x
    x = 3,011,016.29/1,983.95
  6. Step 6: Final answer
    x = 1,517.69

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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.