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Finding the Fourth Proportional to 3,042, 4,563.18 and 850.86

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Solution

The fourth proportional to 3,042, 4,563.18 and 850.86 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042 : 4,563.18 = 850.86 : x
  2. Step 2: Convert to fraction form
    3,042/4,563.18 = 850.86/x
  3. Step 3: Cross multiply
    3,042x = 4,563.18 × 850.86
  4. Step 4: Simplify right side
    3,042x = 3,882,627.33
  5. Step 5: Solve for x
    x = 3,882,627.33/3,042
  6. Step 6: Final answer
    x = 1,276.34

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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.