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Finding the Fourth Proportional to 4,662.98, 6,997.55 and 2,198.51

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Solution

The fourth proportional to 4,662.98, 6,997.55 and 2,198.51 is: 3,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.98 : 6,997.55 = 2,198.51 : x
  2. Step 2: Convert to fraction form
    4,662.98/6,997.55 = 2,198.51/x
  3. Step 3: Cross multiply
    4,662.98x = 6,997.55 × 2,198.51
  4. Step 4: Simplify right side
    4,662.98x = 15,384,137.67
  5. Step 5: Solve for x
    x = 15,384,137.67/4,662.98
  6. Step 6: Final answer
    x = 3,299.21

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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.