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Finding the Fourth Proportional to 3,161.57, 4,361.58 and 1,983.02

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Solution

The fourth proportional to 3,161.57, 4,361.58 and 1,983.02 is: 2,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.57 : 4,361.58 = 1,983.02 : x
  2. Step 2: Convert to fraction form
    3,161.57/4,361.58 = 1,983.02/x
  3. Step 3: Cross multiply
    3,161.57x = 4,361.58 × 1,983.02
  4. Step 4: Simplify right side
    3,161.57x = 8,649,078.56
  5. Step 5: Solve for x
    x = 8,649,078.56/3,161.57
  6. Step 6: Final answer
    x = 2,735.70

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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.