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Finding the Fourth Proportional to 3,059.44, 4,221.97 and 1,662.20

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Solution

The fourth proportional to 3,059.44, 4,221.97 and 1,662.20 is: 2,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.44 : 4,221.97 = 1,662.20 : x
  2. Step 2: Convert to fraction form
    3,059.44/4,221.97 = 1,662.20/x
  3. Step 3: Cross multiply
    3,059.44x = 4,221.97 × 1,662.20
  4. Step 4: Simplify right side
    3,059.44x = 7,017,758.53
  5. Step 5: Solve for x
    x = 7,017,758.53/3,059.44
  6. Step 6: Final answer
    x = 2,293.80

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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.