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Finding the Fourth Proportional to 3,203.64, 4,809.11 and 2,150.24

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Solution

The fourth proportional to 3,203.64, 4,809.11 and 2,150.24 is: 3,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.64 : 4,809.11 = 2,150.24 : x
  2. Step 2: Convert to fraction form
    3,203.64/4,809.11 = 2,150.24/x
  3. Step 3: Cross multiply
    3,203.64x = 4,809.11 × 2,150.24
  4. Step 4: Simplify right side
    3,203.64x = 10,340,705.89
  5. Step 5: Solve for x
    x = 10,340,705.89/3,203.64
  6. Step 6: Final answer
    x = 3,227.80

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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.