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Finding the Fourth Proportional to 3,224.50, 4,449.90 and 1,827.34

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Solution

The fourth proportional to 3,224.50, 4,449.90 and 1,827.34 is: 2,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.50 : 4,449.90 = 1,827.34 : x
  2. Step 2: Convert to fraction form
    3,224.50/4,449.90 = 1,827.34/x
  3. Step 3: Cross multiply
    3,224.50x = 4,449.90 × 1,827.34
  4. Step 4: Simplify right side
    3,224.50x = 8,131,480.27
  5. Step 5: Solve for x
    x = 8,131,480.27/3,224.50
  6. Step 6: Final answer
    x = 2,521.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.