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Finding the Fourth Proportional to 2,672.24, 3,687.81 and 1,493.42

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Solution

The fourth proportional to 2,672.24, 3,687.81 and 1,493.42 is: 2,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.24 : 3,687.81 = 1,493.42 : x
  2. Step 2: Convert to fraction form
    2,672.24/3,687.81 = 1,493.42/x
  3. Step 3: Cross multiply
    2,672.24x = 3,687.81 × 1,493.42
  4. Step 4: Simplify right side
    2,672.24x = 5,507,449.21
  5. Step 5: Solve for x
    x = 5,507,449.21/2,672.24
  6. Step 6: Final answer
    x = 2,060.99

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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.