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Finding the Fourth Proportional to 4,098.74, 6,149.02 and 1,633.66

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Solution

The fourth proportional to 4,098.74, 6,149.02 and 1,633.66 is: 2,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.74 : 6,149.02 = 1,633.66 : x
  2. Step 2: Convert to fraction form
    4,098.74/6,149.02 = 1,633.66/x
  3. Step 3: Cross multiply
    4,098.74x = 6,149.02 × 1,633.66
  4. Step 4: Simplify right side
    4,098.74x = 10,045,408.01
  5. Step 5: Solve for x
    x = 10,045,408.01/4,098.74
  6. Step 6: Final answer
    x = 2,450.85

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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.