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Finding the Fourth Proportional to 2,216.72, 3,322.19 and 1,120.49

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Solution

The fourth proportional to 2,216.72, 3,322.19 and 1,120.49 is: 1,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.72 : 3,322.19 = 1,120.49 : x
  2. Step 2: Convert to fraction form
    2,216.72/3,322.19 = 1,120.49/x
  3. Step 3: Cross multiply
    2,216.72x = 3,322.19 × 1,120.49
  4. Step 4: Simplify right side
    2,216.72x = 3,722,458.46
  5. Step 5: Solve for x
    x = 3,722,458.46/2,216.72
  6. Step 6: Final answer
    x = 1,679.27

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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.