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Finding the Fourth Proportional to 2,276.81, 3,416.04 and 960.89

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Solution

The fourth proportional to 2,276.81, 3,416.04 and 960.89 is: 1,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.81 : 3,416.04 = 960.89 : x
  2. Step 2: Convert to fraction form
    2,276.81/3,416.04 = 960.89/x
  3. Step 3: Cross multiply
    2,276.81x = 3,416.04 × 960.89
  4. Step 4: Simplify right side
    2,276.81x = 3,282,438.68
  5. Step 5: Solve for x
    x = 3,282,438.68/2,276.81
  6. Step 6: Final answer
    x = 1,441.68

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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.