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Finding the Fourth Proportional to 2,935.85, 4,404.24 and 960.83

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Solution

The fourth proportional to 2,935.85, 4,404.24 and 960.83 is: 1,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.85 : 4,404.24 = 960.83 : x
  2. Step 2: Convert to fraction form
    2,935.85/4,404.24 = 960.83/x
  3. Step 3: Cross multiply
    2,935.85x = 4,404.24 × 960.83
  4. Step 4: Simplify right side
    2,935.85x = 4,231,725.92
  5. Step 5: Solve for x
    x = 4,231,725.92/2,935.85
  6. Step 6: Final answer
    x = 1,441.40

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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.