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Finding the Fourth Proportional to 2,199.21, 3,295.90 and 1,318.87

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Solution

The fourth proportional to 2,199.21, 3,295.90 and 1,318.87 is: 1,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.21 : 3,295.90 = 1,318.87 : x
  2. Step 2: Convert to fraction form
    2,199.21/3,295.90 = 1,318.87/x
  3. Step 3: Cross multiply
    2,199.21x = 3,295.90 × 1,318.87
  4. Step 4: Simplify right side
    2,199.21x = 4,346,863.63
  5. Step 5: Solve for x
    x = 4,346,863.63/2,199.21
  6. Step 6: Final answer
    x = 1,976.56

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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.