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Finding the Fourth Proportional to 2,589.97, 3,884.93 and 1,550.26

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Solution

The fourth proportional to 2,589.97, 3,884.93 and 1,550.26 is: 2,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.97 : 3,884.93 = 1,550.26 : x
  2. Step 2: Convert to fraction form
    2,589.97/3,884.93 = 1,550.26/x
  3. Step 3: Cross multiply
    2,589.97x = 3,884.93 × 1,550.26
  4. Step 4: Simplify right side
    2,589.97x = 6,022,667.20
  5. Step 5: Solve for x
    x = 6,022,667.20/2,589.97
  6. Step 6: Final answer
    x = 2,325.38

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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.