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Finding the Fourth Proportional to 3,224.50, 4,450.44 and 1,827.28

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Solution

The fourth proportional to 3,224.50, 4,450.44 and 1,827.28 is: 2,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.50 : 4,450.44 = 1,827.28 : x
  2. Step 2: Convert to fraction form
    3,224.50/4,450.44 = 1,827.28/x
  3. Step 3: Cross multiply
    3,224.50x = 4,450.44 × 1,827.28
  4. Step 4: Simplify right side
    3,224.50x = 8,132,200.00
  5. Step 5: Solve for x
    x = 8,132,200.00/3,224.50
  6. Step 6: Final answer
    x = 2,522.00

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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.