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Finding the Fourth Proportional to 3,184.70, 4,770.86 and 1,793.82

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Solution

The fourth proportional to 3,184.70, 4,770.86 and 1,793.82 is: 2,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.70 : 4,770.86 = 1,793.82 : x
  2. Step 2: Convert to fraction form
    3,184.70/4,770.86 = 1,793.82/x
  3. Step 3: Cross multiply
    3,184.70x = 4,770.86 × 1,793.82
  4. Step 4: Simplify right side
    3,184.70x = 8,558,064.09
  5. Step 5: Solve for x
    x = 8,558,064.09/3,184.70
  6. Step 6: Final answer
    x = 2,687.24

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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.