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Finding the Fourth Proportional to 3,179.25, 4,770.90 and 1,447.88

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Solution

The fourth proportional to 3,179.25, 4,770.90 and 1,447.88 is: 2,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.25 : 4,770.90 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    3,179.25/4,770.90 = 1,447.88/x
  3. Step 3: Cross multiply
    3,179.25x = 4,770.90 × 1,447.88
  4. Step 4: Simplify right side
    3,179.25x = 6,907,666.84
  5. Step 5: Solve for x
    x = 6,907,666.84/3,179.25
  6. Step 6: Final answer
    x = 2,172.73

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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.