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Finding the Fourth Proportional to 3,040.22, 4,560.31 and 960.38

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Solution

The fourth proportional to 3,040.22, 4,560.31 and 960.38 is: 1,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.22 : 4,560.31 = 960.38 : x
  2. Step 2: Convert to fraction form
    3,040.22/4,560.31 = 960.38/x
  3. Step 3: Cross multiply
    3,040.22x = 4,560.31 × 960.38
  4. Step 4: Simplify right side
    3,040.22x = 4,379,630.52
  5. Step 5: Solve for x
    x = 4,379,630.52/3,040.22
  6. Step 6: Final answer
    x = 1,440.56

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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.