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Finding the Fourth Proportional to 2,252.48, 3,380.14 and 2,233.91

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Solution

The fourth proportional to 2,252.48, 3,380.14 and 2,233.91 is: 3,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.48 : 3,380.14 = 2,233.91 : x
  2. Step 2: Convert to fraction form
    2,252.48/3,380.14 = 2,233.91/x
  3. Step 3: Cross multiply
    2,252.48x = 3,380.14 × 2,233.91
  4. Step 4: Simplify right side
    2,252.48x = 7,550,910.01
  5. Step 5: Solve for x
    x = 7,550,910.01/2,252.48
  6. Step 6: Final answer
    x = 3,352.27

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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.