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Finding the Fourth Proportional to 3,220.49, 4,822.48 and 2,231.90

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Solution

The fourth proportional to 3,220.49, 4,822.48 and 2,231.90 is: 3,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.49 : 4,822.48 = 2,231.90 : x
  2. Step 2: Convert to fraction form
    3,220.49/4,822.48 = 2,231.90/x
  3. Step 3: Cross multiply
    3,220.49x = 4,822.48 × 2,231.90
  4. Step 4: Simplify right side
    3,220.49x = 10,763,281.95
  5. Step 5: Solve for x
    x = 10,763,281.95/3,220.49
  6. Step 6: Final answer
    x = 3,342.13

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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.