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Finding the Fourth Proportional to 4,242.20, 6,363.84 and 1,644.80

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Solution

The fourth proportional to 4,242.20, 6,363.84 and 1,644.80 is: 2,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.20 : 6,363.84 = 1,644.80 : x
  2. Step 2: Convert to fraction form
    4,242.20/6,363.84 = 1,644.80/x
  3. Step 3: Cross multiply
    4,242.20x = 6,363.84 × 1,644.80
  4. Step 4: Simplify right side
    4,242.20x = 10,467,244.03
  5. Step 5: Solve for x
    x = 10,467,244.03/4,242.20
  6. Step 6: Final answer
    x = 2,467.41

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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.