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Finding the Fourth Proportional to 2,662.13, 3,993.26 and 930.75

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Solution

The fourth proportional to 2,662.13, 3,993.26 and 930.75 is: 1,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.13 : 3,993.26 = 930.75 : x
  2. Step 2: Convert to fraction form
    2,662.13/3,993.26 = 930.75/x
  3. Step 3: Cross multiply
    2,662.13x = 3,993.26 × 930.75
  4. Step 4: Simplify right side
    2,662.13x = 3,716,722.09
  5. Step 5: Solve for x
    x = 3,716,722.09/2,662.13
  6. Step 6: Final answer
    x = 1,396.15

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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.