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Finding the Fourth Proportional to 3,222.68, 4,447.66 and 1,964.48

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Solution

The fourth proportional to 3,222.68, 4,447.66 and 1,964.48 is: 2,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.68 : 4,447.66 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    3,222.68/4,447.66 = 1,964.48/x
  3. Step 3: Cross multiply
    3,222.68x = 4,447.66 × 1,964.48
  4. Step 4: Simplify right side
    3,222.68x = 8,737,339.12
  5. Step 5: Solve for x
    x = 8,737,339.12/3,222.68
  6. Step 6: Final answer
    x = 2,711.20

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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.