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Finding the Fourth Proportional to 2,327.34, 3,490.65 and 2,198.82

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Solution

The fourth proportional to 2,327.34, 3,490.65 and 2,198.82 is: 3,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.34 : 3,490.65 = 2,198.82 : x
  2. Step 2: Convert to fraction form
    2,327.34/3,490.65 = 2,198.82/x
  3. Step 3: Cross multiply
    2,327.34x = 3,490.65 × 2,198.82
  4. Step 4: Simplify right side
    2,327.34x = 7,675,311.03
  5. Step 5: Solve for x
    x = 7,675,311.03/2,327.34
  6. Step 6: Final answer
    x = 3,297.89

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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.