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Finding the Fourth Proportional to 2,548.87, 3,820.72 and 1,727.23

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Solution

The fourth proportional to 2,548.87, 3,820.72 and 1,727.23 is: 2,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.87 : 3,820.72 = 1,727.23 : x
  2. Step 2: Convert to fraction form
    2,548.87/3,820.72 = 1,727.23/x
  3. Step 3: Cross multiply
    2,548.87x = 3,820.72 × 1,727.23
  4. Step 4: Simplify right side
    2,548.87x = 6,599,245.26
  5. Step 5: Solve for x
    x = 6,599,245.26/2,548.87
  6. Step 6: Final answer
    x = 2,589.09

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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.