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Finding the Fourth Proportional to 2,420.24, 3,631.73 and 960.44

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Solution

The fourth proportional to 2,420.24, 3,631.73 and 960.44 is: 1,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.24 : 3,631.73 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,420.24/3,631.73 = 960.44/x
  3. Step 3: Cross multiply
    2,420.24x = 3,631.73 × 960.44
  4. Step 4: Simplify right side
    2,420.24x = 3,488,035.80
  5. Step 5: Solve for x
    x = 3,488,035.80/2,420.24
  6. Step 6: Final answer
    x = 1,441.20

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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.