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Finding the Fourth Proportional to 2,609.43, 3,912.12 and 1,292.28

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Solution

The fourth proportional to 2,609.43, 3,912.12 and 1,292.28 is: 1,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.43 : 3,912.12 = 1,292.28 : x
  2. Step 2: Convert to fraction form
    2,609.43/3,912.12 = 1,292.28/x
  3. Step 3: Cross multiply
    2,609.43x = 3,912.12 × 1,292.28
  4. Step 4: Simplify right side
    2,609.43x = 5,055,554.43
  5. Step 5: Solve for x
    x = 5,055,554.43/2,609.43
  6. Step 6: Final answer
    x = 1,937.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.