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Finding the Fourth Proportional to 2,216.22, 3,322.32 and 1,392

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Solution

The fourth proportional to 2,216.22, 3,322.32 and 1,392 is: 2,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.22 : 3,322.32 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,216.22/3,322.32 = 1,392/x
  3. Step 3: Cross multiply
    2,216.22x = 3,322.32 × 1,392
  4. Step 4: Simplify right side
    2,216.22x = 4,624,669.44
  5. Step 5: Solve for x
    x = 4,624,669.44/2,216.22
  6. Step 6: Final answer
    x = 2,086.74

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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.