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Finding the Fourth Proportional to 4,198.17, 6,296.82 and 1,276.50

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Solution

The fourth proportional to 4,198.17, 6,296.82 and 1,276.50 is: 1,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.17 : 6,296.82 = 1,276.50 : x
  2. Step 2: Convert to fraction form
    4,198.17/6,296.82 = 1,276.50/x
  3. Step 3: Cross multiply
    4,198.17x = 6,296.82 × 1,276.50
  4. Step 4: Simplify right side
    4,198.17x = 8,037,890.73
  5. Step 5: Solve for x
    x = 8,037,890.73/4,198.17
  6. Step 6: Final answer
    x = 1,914.62

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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.