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Finding the Fourth Proportional to 3,199, 4,793.85 and 2,276.41

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Solution

The fourth proportional to 3,199, 4,793.85 and 2,276.41 is: 3,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199 : 4,793.85 = 2,276.41 : x
  2. Step 2: Convert to fraction form
    3,199/4,793.85 = 2,276.41/x
  3. Step 3: Cross multiply
    3,199x = 4,793.85 × 2,276.41
  4. Step 4: Simplify right side
    3,199x = 10,912,768.08
  5. Step 5: Solve for x
    x = 10,912,768.08/3,199
  6. Step 6: Final answer
    x = 3,411.31

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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.