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Finding the Fourth Proportional to 2,672.24, 3,687.44 and 1,609.84

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Solution

The fourth proportional to 2,672.24, 3,687.44 and 1,609.84 is: 2,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.24 : 3,687.44 = 1,609.84 : x
  2. Step 2: Convert to fraction form
    2,672.24/3,687.44 = 1,609.84/x
  3. Step 3: Cross multiply
    2,672.24x = 3,687.44 × 1,609.84
  4. Step 4: Simplify right side
    2,672.24x = 5,936,188.41
  5. Step 5: Solve for x
    x = 5,936,188.41/2,672.24
  6. Step 6: Final answer
    x = 2,221.43

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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.