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Finding the Fourth Proportional to 2,609.73, 3,914.96 and 1,514.61

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Solution

The fourth proportional to 2,609.73, 3,914.96 and 1,514.61 is: 2,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.73 : 3,914.96 = 1,514.61 : x
  2. Step 2: Convert to fraction form
    2,609.73/3,914.96 = 1,514.61/x
  3. Step 3: Cross multiply
    2,609.73x = 3,914.96 × 1,514.61
  4. Step 4: Simplify right side
    2,609.73x = 5,929,629.99
  5. Step 5: Solve for x
    x = 5,929,629.99/2,609.73
  6. Step 6: Final answer
    x = 2,272.12

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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.