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Finding the Fourth Proportional to 2,960.64, 4,441.20 and 1,229.44

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Solution

The fourth proportional to 2,960.64, 4,441.20 and 1,229.44 is: 1,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.64 : 4,441.20 = 1,229.44 : x
  2. Step 2: Convert to fraction form
    2,960.64/4,441.20 = 1,229.44/x
  3. Step 3: Cross multiply
    2,960.64x = 4,441.20 × 1,229.44
  4. Step 4: Simplify right side
    2,960.64x = 5,460,188.93
  5. Step 5: Solve for x
    x = 5,460,188.93/2,960.64
  6. Step 6: Final answer
    x = 1,844.26

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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.