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Finding the Fourth Proportional to 3,131.12, 4,696.67 and 939.85

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Solution

The fourth proportional to 3,131.12, 4,696.67 and 939.85 is: 1,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.12 : 4,696.67 = 939.85 : x
  2. Step 2: Convert to fraction form
    3,131.12/4,696.67 = 939.85/x
  3. Step 3: Cross multiply
    3,131.12x = 4,696.67 × 939.85
  4. Step 4: Simplify right side
    3,131.12x = 4,414,155.91
  5. Step 5: Solve for x
    x = 4,414,155.91/3,131.12
  6. Step 6: Final answer
    x = 1,409.77

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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.