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Finding the Fourth Proportional to 2,069.97, 3,104.94 and 609.21

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Solution

The fourth proportional to 2,069.97, 3,104.94 and 609.21 is: 913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.97 : 3,104.94 = 609.21 : x
  2. Step 2: Convert to fraction form
    2,069.97/3,104.94 = 609.21/x
  3. Step 3: Cross multiply
    2,069.97x = 3,104.94 × 609.21
  4. Step 4: Simplify right side
    2,069.97x = 1,891,560.50
  5. Step 5: Solve for x
    x = 1,891,560.50/2,069.97
  6. Step 6: Final answer
    x = 913.81

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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.