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Finding the Fourth Proportional to 3,131.33, 4,695.81 and 939.32

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Solution

The fourth proportional to 3,131.33, 4,695.81 and 939.32 is: 1,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.33 : 4,695.81 = 939.32 : x
  2. Step 2: Convert to fraction form
    3,131.33/4,695.81 = 939.32/x
  3. Step 3: Cross multiply
    3,131.33x = 4,695.81 × 939.32
  4. Step 4: Simplify right side
    3,131.33x = 4,410,868.25
  5. Step 5: Solve for x
    x = 4,410,868.25/3,131.33
  6. Step 6: Final answer
    x = 1,408.62

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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.