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Finding the Fourth Proportional to 3,131.02, 4,695.78 and 939.22

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Solution

The fourth proportional to 3,131.02, 4,695.78 and 939.22 is: 1,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.02 : 4,695.78 = 939.22 : x
  2. Step 2: Convert to fraction form
    3,131.02/4,695.78 = 939.22/x
  3. Step 3: Cross multiply
    3,131.02x = 4,695.78 × 939.22
  4. Step 4: Simplify right side
    3,131.02x = 4,410,370.49
  5. Step 5: Solve for x
    x = 4,410,370.49/3,131.02
  6. Step 6: Final answer
    x = 1,408.61

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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.