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Finding the Fourth Proportional to 1,727.40, 2,589.94 and 850.11

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Solution

The fourth proportional to 1,727.40, 2,589.94 and 850.11 is: 1,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.40 : 2,589.94 = 850.11 : x
  2. Step 2: Convert to fraction form
    1,727.40/2,589.94 = 850.11/x
  3. Step 3: Cross multiply
    1,727.40x = 2,589.94 × 850.11
  4. Step 4: Simplify right side
    1,727.40x = 2,201,733.89
  5. Step 5: Solve for x
    x = 2,201,733.89/1,727.40
  6. Step 6: Final answer
    x = 1,274.59

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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.