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Finding the Fourth Proportional to 2,299.75, 3,450.17 and 760.75

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Solution

The fourth proportional to 2,299.75, 3,450.17 and 760.75 is: 1,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.75 : 3,450.17 = 760.75 : x
  2. Step 2: Convert to fraction form
    2,299.75/3,450.17 = 760.75/x
  3. Step 3: Cross multiply
    2,299.75x = 3,450.17 × 760.75
  4. Step 4: Simplify right side
    2,299.75x = 2,624,716.83
  5. Step 5: Solve for x
    x = 2,624,716.83/2,299.75
  6. Step 6: Final answer
    x = 1,141.31

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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.