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Finding the Fourth Proportional to 3,274.94, 4,517.70 and 2,266.22

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Solution

The fourth proportional to 3,274.94, 4,517.70 and 2,266.22 is: 3,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.94 : 4,517.70 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    3,274.94/4,517.70 = 2,266.22/x
  3. Step 3: Cross multiply
    3,274.94x = 4,517.70 × 2,266.22
  4. Step 4: Simplify right side
    3,274.94x = 10,238,102.09
  5. Step 5: Solve for x
    x = 10,238,102.09/3,274.94
  6. Step 6: Final answer
    x = 3,126.20

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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.