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Finding the Fourth Proportional to 2,662.67, 3,993.86 and 1,019.09

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Solution

The fourth proportional to 2,662.67, 3,993.86 and 1,019.09 is: 1,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.67 : 3,993.86 = 1,019.09 : x
  2. Step 2: Convert to fraction form
    2,662.67/3,993.86 = 1,019.09/x
  3. Step 3: Cross multiply
    2,662.67x = 3,993.86 × 1,019.09
  4. Step 4: Simplify right side
    2,662.67x = 4,070,077.72
  5. Step 5: Solve for x
    x = 4,070,077.72/2,662.67
  6. Step 6: Final answer
    x = 1,528.57

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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.