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Finding the Fourth Proportional to 2,238.34, 3,356.83 and 939.52

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Solution

The fourth proportional to 2,238.34, 3,356.83 and 939.52 is: 1,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.34 : 3,356.83 = 939.52 : x
  2. Step 2: Convert to fraction form
    2,238.34/3,356.83 = 939.52/x
  3. Step 3: Cross multiply
    2,238.34x = 3,356.83 × 939.52
  4. Step 4: Simplify right side
    2,238.34x = 3,153,787.44
  5. Step 5: Solve for x
    x = 3,153,787.44/2,238.34
  6. Step 6: Final answer
    x = 1,408.99

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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.