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Finding the Fourth Proportional to 3,042.27, 4,563.41 and 850.99

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Solution

The fourth proportional to 3,042.27, 4,563.41 and 850.99 is: 1,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.27 : 4,563.41 = 850.99 : x
  2. Step 2: Convert to fraction form
    3,042.27/4,563.41 = 850.99/x
  3. Step 3: Cross multiply
    3,042.27x = 4,563.41 × 850.99
  4. Step 4: Simplify right side
    3,042.27x = 3,883,416.28
  5. Step 5: Solve for x
    x = 3,883,416.28/3,042.27
  6. Step 6: Final answer
    x = 1,276.49

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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.