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Finding the Fourth Proportional to 4,098.62, 6,148.85 and 1,633.38

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Solution

The fourth proportional to 4,098.62, 6,148.85 and 1,633.38 is: 2,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.62 : 6,148.85 = 1,633.38 : x
  2. Step 2: Convert to fraction form
    4,098.62/6,148.85 = 1,633.38/x
  3. Step 3: Cross multiply
    4,098.62x = 6,148.85 × 1,633.38
  4. Step 4: Simplify right side
    4,098.62x = 10,043,408.61
  5. Step 5: Solve for x
    x = 10,043,408.61/4,098.62
  6. Step 6: Final answer
    x = 2,450.44

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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.