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Finding the Fourth Proportional to 4,404.65, 6,609.50 and 1,633.23

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Solution

The fourth proportional to 4,404.65, 6,609.50 and 1,633.23 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.65 : 6,609.50 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    4,404.65/6,609.50 = 1,633.23/x
  3. Step 3: Cross multiply
    4,404.65x = 6,609.50 × 1,633.23
  4. Step 4: Simplify right side
    4,404.65x = 10,794,825.52
  5. Step 5: Solve for x
    x = 10,794,825.52/4,404.65
  6. Step 6: Final answer
    x = 2,450.78

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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.