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Finding the Fourth Proportional to 3,040.27, 4,559.74 and 960.43

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Solution

The fourth proportional to 3,040.27, 4,559.74 and 960.43 is: 1,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.27 : 4,559.74 = 960.43 : x
  2. Step 2: Convert to fraction form
    3,040.27/4,559.74 = 960.43/x
  3. Step 3: Cross multiply
    3,040.27x = 4,559.74 × 960.43
  4. Step 4: Simplify right side
    3,040.27x = 4,379,311.09
  5. Step 5: Solve for x
    x = 4,379,311.09/3,040.27
  6. Step 6: Final answer
    x = 1,440.43

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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.