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Finding the Fourth Proportional to 3,234.26, 4,847.93 and 1,844.60

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Solution

The fourth proportional to 3,234.26, 4,847.93 and 1,844.60 is: 2,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.26 : 4,847.93 = 1,844.60 : x
  2. Step 2: Convert to fraction form
    3,234.26/4,847.93 = 1,844.60/x
  3. Step 3: Cross multiply
    3,234.26x = 4,847.93 × 1,844.60
  4. Step 4: Simplify right side
    3,234.26x = 8,942,474.95
  5. Step 5: Solve for x
    x = 8,942,474.95/3,234.26
  6. Step 6: Final answer
    x = 2,764.93

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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.