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Finding the Fourth Proportional to 2,441.63, 3,660.38 and 960.02

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Solution

The fourth proportional to 2,441.63, 3,660.38 and 960.02 is: 1,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.63 : 3,660.38 = 960.02 : x
  2. Step 2: Convert to fraction form
    2,441.63/3,660.38 = 960.02/x
  3. Step 3: Cross multiply
    2,441.63x = 3,660.38 × 960.02
  4. Step 4: Simplify right side
    2,441.63x = 3,514,014.91
  5. Step 5: Solve for x
    x = 3,514,014.91/2,441.63
  6. Step 6: Final answer
    x = 1,439.21

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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.