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Finding the Fourth Proportional to 2,274.30, 3,405.97 and 1,297.44

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Solution

The fourth proportional to 2,274.30, 3,405.97 and 1,297.44 is: 1,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.30 : 3,405.97 = 1,297.44 : x
  2. Step 2: Convert to fraction form
    2,274.30/3,405.97 = 1,297.44/x
  3. Step 3: Cross multiply
    2,274.30x = 3,405.97 × 1,297.44
  4. Step 4: Simplify right side
    2,274.30x = 4,419,041.72
  5. Step 5: Solve for x
    x = 4,419,041.72/2,274.30
  6. Step 6: Final answer
    x = 1,943.03

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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.