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Finding the Fourth Proportional to 4,198.34, 6,297.11 and 1,276.67

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Solution

The fourth proportional to 4,198.34, 6,297.11 and 1,276.67 is: 1,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.34 : 6,297.11 = 1,276.67 : x
  2. Step 2: Convert to fraction form
    4,198.34/6,297.11 = 1,276.67/x
  3. Step 3: Cross multiply
    4,198.34x = 6,297.11 × 1,276.67
  4. Step 4: Simplify right side
    4,198.34x = 8,039,331.42
  5. Step 5: Solve for x
    x = 8,039,331.42/4,198.34
  6. Step 6: Final answer
    x = 1,914.88

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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.