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Finding the Fourth Proportional to 1,983.37, 2,737 and 1,099.16

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Solution

The fourth proportional to 1,983.37, 2,737 and 1,099.16 is: 1,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.37 : 2,737 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    1,983.37/2,737 = 1,099.16/x
  3. Step 3: Cross multiply
    1,983.37x = 2,737 × 1,099.16
  4. Step 4: Simplify right side
    1,983.37x = 3,008,400.92
  5. Step 5: Solve for x
    x = 3,008,400.92/1,983.37
  6. Step 6: Final answer
    x = 1,516.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.