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Finding the Fourth Proportional to 3,231.42, 4,847.82 and 1,845.42

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Solution

The fourth proportional to 3,231.42, 4,847.82 and 1,845.42 is: 2,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.42 : 4,847.82 = 1,845.42 : x
  2. Step 2: Convert to fraction form
    3,231.42/4,847.82 = 1,845.42/x
  3. Step 3: Cross multiply
    3,231.42x = 4,847.82 × 1,845.42
  4. Step 4: Simplify right side
    3,231.42x = 8,946,263.98
  5. Step 5: Solve for x
    x = 8,946,263.98/3,231.42
  6. Step 6: Final answer
    x = 2,768.52

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