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Finding the Fourth Proportional to 3,279.50, 4,919.97 and 1,227.50

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Solution

The fourth proportional to 3,279.50, 4,919.97 and 1,227.50 is: 1,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.50 : 4,919.97 = 1,227.50 : x
  2. Step 2: Convert to fraction form
    3,279.50/4,919.97 = 1,227.50/x
  3. Step 3: Cross multiply
    3,279.50x = 4,919.97 × 1,227.50
  4. Step 4: Simplify right side
    3,279.50x = 6,039,263.18
  5. Step 5: Solve for x
    x = 6,039,263.18/3,279.50
  6. Step 6: Final answer
    x = 1,841.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.