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Finding the Fourth Proportional to 3,161.34, 4,361.22 and 2,151.81

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Solution

The fourth proportional to 3,161.34, 4,361.22 and 2,151.81 is: 2,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.34 : 4,361.22 = 2,151.81 : x
  2. Step 2: Convert to fraction form
    3,161.34/4,361.22 = 2,151.81/x
  3. Step 3: Cross multiply
    3,161.34x = 4,361.22 × 2,151.81
  4. Step 4: Simplify right side
    3,161.34x = 9,384,516.81
  5. Step 5: Solve for x
    x = 9,384,516.81/3,161.34
  6. Step 6: Final answer
    x = 2,968.52

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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.