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Finding the Fourth Proportional to 3,162.33, 4,361.65 and 2,322.78

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Solution

The fourth proportional to 3,162.33, 4,361.65 and 2,322.78 is: 3,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.33 : 4,361.65 = 2,322.78 : x
  2. Step 2: Convert to fraction form
    3,162.33/4,361.65 = 2,322.78/x
  3. Step 3: Cross multiply
    3,162.33x = 4,361.65 × 2,322.78
  4. Step 4: Simplify right side
    3,162.33x = 10,131,153.39
  5. Step 5: Solve for x
    x = 10,131,153.39/3,162.33
  6. Step 6: Final answer
    x = 3,203.70

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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.