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Finding the Fourth Proportional to 4,814.50, 7,221.78 and 1,736.50

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Solution

The fourth proportional to 4,814.50, 7,221.78 and 1,736.50 is: 2,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.50 : 7,221.78 = 1,736.50 : x
  2. Step 2: Convert to fraction form
    4,814.50/7,221.78 = 1,736.50/x
  3. Step 3: Cross multiply
    4,814.50x = 7,221.78 × 1,736.50
  4. Step 4: Simplify right side
    4,814.50x = 12,540,620.97
  5. Step 5: Solve for x
    x = 12,540,620.97/4,814.50
  6. Step 6: Final answer
    x = 2,604.76

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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.