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Finding the Fourth Proportional to 1,228.44, 1,844.22 and 1,216.20

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Solution

The fourth proportional to 1,228.44, 1,844.22 and 1,216.20 is: 1,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.44 : 1,844.22 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    1,228.44/1,844.22 = 1,216.20/x
  3. Step 3: Cross multiply
    1,228.44x = 1,844.22 × 1,216.20
  4. Step 4: Simplify right side
    1,228.44x = 2,242,940.36
  5. Step 5: Solve for x
    x = 2,242,940.36/1,228.44
  6. Step 6: Final answer
    x = 1,825.84

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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.