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Finding the Fourth Proportional to 2,188.62, 3,288.60 and 1,644.30

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Solution

The fourth proportional to 2,188.62, 3,288.60 and 1,644.30 is: 2,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.62 : 3,288.60 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    2,188.62/3,288.60 = 1,644.30/x
  3. Step 3: Cross multiply
    2,188.62x = 3,288.60 × 1,644.30
  4. Step 4: Simplify right side
    2,188.62x = 5,407,444.98
  5. Step 5: Solve for x
    x = 5,407,444.98/2,188.62
  6. Step 6: Final answer
    x = 2,470.71

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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.