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Finding the Fourth Proportional to 2,813.44, 4,220.16 and 1,274.88

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Solution

The fourth proportional to 2,813.44, 4,220.16 and 1,274.88 is: 1,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.44 : 4,220.16 = 1,274.88 : x
  2. Step 2: Convert to fraction form
    2,813.44/4,220.16 = 1,274.88/x
  3. Step 3: Cross multiply
    2,813.44x = 4,220.16 × 1,274.88
  4. Step 4: Simplify right side
    2,813.44x = 5,380,197.58
  5. Step 5: Solve for x
    x = 5,380,197.58/2,813.44
  6. Step 6: Final answer
    x = 1,912.32

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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.