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Finding the Fourth Proportional to 2,268.72, 3,399.93 and 1,033.11

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Solution

The fourth proportional to 2,268.72, 3,399.93 and 1,033.11 is: 1,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.72 : 3,399.93 = 1,033.11 : x
  2. Step 2: Convert to fraction form
    2,268.72/3,399.93 = 1,033.11/x
  3. Step 3: Cross multiply
    2,268.72x = 3,399.93 × 1,033.11
  4. Step 4: Simplify right side
    2,268.72x = 3,512,501.68
  5. Step 5: Solve for x
    x = 3,512,501.68/2,268.72
  6. Step 6: Final answer
    x = 1,548.23

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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.