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Finding the Fourth Proportional to 3,042.26, 4,563.64 and 850.98

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Solution

The fourth proportional to 3,042.26, 4,563.64 and 850.98 is: 1,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.26 : 4,563.64 = 850.98 : x
  2. Step 2: Convert to fraction form
    3,042.26/4,563.64 = 850.98/x
  3. Step 3: Cross multiply
    3,042.26x = 4,563.64 × 850.98
  4. Step 4: Simplify right side
    3,042.26x = 3,883,584.54
  5. Step 5: Solve for x
    x = 3,883,584.54/3,042.26
  6. Step 6: Final answer
    x = 1,276.55

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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.