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Finding the Fourth Proportional to 2,054.27, 3,083.46 and 959.41

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Solution

The fourth proportional to 2,054.27, 3,083.46 and 959.41 is: 1,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.27 : 3,083.46 = 959.41 : x
  2. Step 2: Convert to fraction form
    2,054.27/3,083.46 = 959.41/x
  3. Step 3: Cross multiply
    2,054.27x = 3,083.46 × 959.41
  4. Step 4: Simplify right side
    2,054.27x = 2,958,286.94
  5. Step 5: Solve for x
    x = 2,958,286.94/2,054.27
  6. Step 6: Final answer
    x = 1,440.07

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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.