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Finding the Fourth Proportional to 3,231.80, 4,847.94 and 1,382.93

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Solution

The fourth proportional to 3,231.80, 4,847.94 and 1,382.93 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.80 : 4,847.94 = 1,382.93 : x
  2. Step 2: Convert to fraction form
    3,231.80/4,847.94 = 1,382.93/x
  3. Step 3: Cross multiply
    3,231.80x = 4,847.94 × 1,382.93
  4. Step 4: Simplify right side
    3,231.80x = 6,704,361.66
  5. Step 5: Solve for x
    x = 6,704,361.66/3,231.80
  6. Step 6: Final answer
    x = 2,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.