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Finding the Fourth Proportional to 3,181, 4,771.78 and 872.50

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Solution

The fourth proportional to 3,181, 4,771.78 and 872.50 is: 1,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181 : 4,771.78 = 872.50 : x
  2. Step 2: Convert to fraction form
    3,181/4,771.78 = 872.50/x
  3. Step 3: Cross multiply
    3,181x = 4,771.78 × 872.50
  4. Step 4: Simplify right side
    3,181x = 4,163,378.05
  5. Step 5: Solve for x
    x = 4,163,378.05/3,181
  6. Step 6: Final answer
    x = 1,308.83

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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.