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Finding the Fourth Proportional to 3,377.46, 4,658.26 and 2,198.92

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Solution

The fourth proportional to 3,377.46, 4,658.26 and 2,198.92 is: 3,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.46 : 4,658.26 = 2,198.92 : x
  2. Step 2: Convert to fraction form
    3,377.46/4,658.26 = 2,198.92/x
  3. Step 3: Cross multiply
    3,377.46x = 4,658.26 × 2,198.92
  4. Step 4: Simplify right side
    3,377.46x = 10,243,141.08
  5. Step 5: Solve for x
    x = 10,243,141.08/3,377.46
  6. Step 6: Final answer
    x = 3,032.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.