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Finding the Fourth Proportional to 2,192.21, 3,288.20 and 711.41

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Solution

The fourth proportional to 2,192.21, 3,288.20 and 711.41 is: 1,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.21 : 3,288.20 = 711.41 : x
  2. Step 2: Convert to fraction form
    2,192.21/3,288.20 = 711.41/x
  3. Step 3: Cross multiply
    2,192.21x = 3,288.20 × 711.41
  4. Step 4: Simplify right side
    2,192.21x = 2,339,247.61
  5. Step 5: Solve for x
    x = 2,339,247.61/2,192.21
  6. Step 6: Final answer
    x = 1,067.07

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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.