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Finding the Fourth Proportional to 3,226.68, 4,451.64 and 1,967.22

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Solution

The fourth proportional to 3,226.68, 4,451.64 and 1,967.22 is: 2,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.68 : 4,451.64 = 1,967.22 : x
  2. Step 2: Convert to fraction form
    3,226.68/4,451.64 = 1,967.22/x
  3. Step 3: Cross multiply
    3,226.68x = 4,451.64 × 1,967.22
  4. Step 4: Simplify right side
    3,226.68x = 8,757,355.24
  5. Step 5: Solve for x
    x = 8,757,355.24/3,226.68
  6. Step 6: Final answer
    x = 2,714.05

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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.