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Finding the Fourth Proportional to 3,198.34, 4,798.03 and 1,349.73

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Solution

The fourth proportional to 3,198.34, 4,798.03 and 1,349.73 is: 2,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.34 : 4,798.03 = 1,349.73 : x
  2. Step 2: Convert to fraction form
    3,198.34/4,798.03 = 1,349.73/x
  3. Step 3: Cross multiply
    3,198.34x = 4,798.03 × 1,349.73
  4. Step 4: Simplify right side
    3,198.34x = 6,476,014.29
  5. Step 5: Solve for x
    x = 6,476,014.29/3,198.34
  6. Step 6: Final answer
    x = 2,024.80

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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.