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Finding the Fourth Proportional to 2,589.44, 3,571.44 and 1,541.30

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Solution

The fourth proportional to 2,589.44, 3,571.44 and 1,541.30 is: 2,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.44 : 3,571.44 = 1,541.30 : x
  2. Step 2: Convert to fraction form
    2,589.44/3,571.44 = 1,541.30/x
  3. Step 3: Cross multiply
    2,589.44x = 3,571.44 × 1,541.30
  4. Step 4: Simplify right side
    2,589.44x = 5,504,660.47
  5. Step 5: Solve for x
    x = 5,504,660.47/2,589.44
  6. Step 6: Final answer
    x = 2,125.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.