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Finding the Fourth Proportional to 2,144, 3,215.36 and 827.52

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Solution

The fourth proportional to 2,144, 3,215.36 and 827.52 is: 1,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 3,215.36 = 827.52 : x
  2. Step 2: Convert to fraction form
    2,144/3,215.36 = 827.52/x
  3. Step 3: Cross multiply
    2,144x = 3,215.36 × 827.52
  4. Step 4: Simplify right side
    2,144x = 2,660,774.71
  5. Step 5: Solve for x
    x = 2,660,774.71/2,144
  6. Step 6: Final answer
    x = 1,241.03

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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.