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Finding the Fourth Proportional to 2,809.44, 4,214.14 and 861.38

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Solution

The fourth proportional to 2,809.44, 4,214.14 and 861.38 is: 1,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.44 : 4,214.14 = 861.38 : x
  2. Step 2: Convert to fraction form
    2,809.44/4,214.14 = 861.38/x
  3. Step 3: Cross multiply
    2,809.44x = 4,214.14 × 861.38
  4. Step 4: Simplify right side
    2,809.44x = 3,629,975.91
  5. Step 5: Solve for x
    x = 3,629,975.91/2,809.44
  6. Step 6: Final answer
    x = 1,292.06

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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.