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Finding the Fourth Proportional to 2,276.87, 3,416.14 and 960.96

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Solution

The fourth proportional to 2,276.87, 3,416.14 and 960.96 is: 1,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.87 : 3,416.14 = 960.96 : x
  2. Step 2: Convert to fraction form
    2,276.87/3,416.14 = 960.96/x
  3. Step 3: Cross multiply
    2,276.87x = 3,416.14 × 960.96
  4. Step 4: Simplify right side
    2,276.87x = 3,282,773.89
  5. Step 5: Solve for x
    x = 3,282,773.89/2,276.87
  6. Step 6: Final answer
    x = 1,441.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.