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Finding the Fourth Proportional to 2,407.26, 3,610.92 and 763.80

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Solution

The fourth proportional to 2,407.26, 3,610.92 and 763.80 is: 1,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.26 : 3,610.92 = 763.80 : x
  2. Step 2: Convert to fraction form
    2,407.26/3,610.92 = 763.80/x
  3. Step 3: Cross multiply
    2,407.26x = 3,610.92 × 763.80
  4. Step 4: Simplify right side
    2,407.26x = 2,758,020.70
  5. Step 5: Solve for x
    x = 2,758,020.70/2,407.26
  6. Step 6: Final answer
    x = 1,145.71

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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.