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Finding the Fourth Proportional to 1,983.81, 2,737.66 and 1,197.71

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Solution

The fourth proportional to 1,983.81, 2,737.66 and 1,197.71 is: 1,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,737.66 = 1,197.71 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,737.66 = 1,197.71/x
  3. Step 3: Cross multiply
    1,983.81x = 2,737.66 × 1,197.71
  4. Step 4: Simplify right side
    1,983.81x = 3,278,922.76
  5. Step 5: Solve for x
    x = 3,278,922.76/1,983.81
  6. Step 6: Final answer
    x = 1,652.84

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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.