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Finding the Fourth Proportional to 2,144.82, 3,215.80 and 911.91

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Solution

The fourth proportional to 2,144.82, 3,215.80 and 911.91 is: 1,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.82 : 3,215.80 = 911.91 : x
  2. Step 2: Convert to fraction form
    2,144.82/3,215.80 = 911.91/x
  3. Step 3: Cross multiply
    2,144.82x = 3,215.80 × 911.91
  4. Step 4: Simplify right side
    2,144.82x = 2,932,520.18
  5. Step 5: Solve for x
    x = 2,932,520.18/2,144.82
  6. Step 6: Final answer
    x = 1,367.26

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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.