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Finding the Fourth Proportional to 2,609.93, 3,914.12 and 1,049.43

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Solution

The fourth proportional to 2,609.93, 3,914.12 and 1,049.43 is: 1,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.93 : 3,914.12 = 1,049.43 : x
  2. Step 2: Convert to fraction form
    2,609.93/3,914.12 = 1,049.43/x
  3. Step 3: Cross multiply
    2,609.93x = 3,914.12 × 1,049.43
  4. Step 4: Simplify right side
    2,609.93x = 4,107,594.95
  5. Step 5: Solve for x
    x = 4,107,594.95/2,609.93
  6. Step 6: Final answer
    x = 1,573.83

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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.