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Finding the Fourth Proportional to 2,152.46, 3,229.14 and 1,274.64

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Solution

The fourth proportional to 2,152.46, 3,229.14 and 1,274.64 is: 1,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.46 : 3,229.14 = 1,274.64 : x
  2. Step 2: Convert to fraction form
    2,152.46/3,229.14 = 1,274.64/x
  3. Step 3: Cross multiply
    2,152.46x = 3,229.14 × 1,274.64
  4. Step 4: Simplify right side
    2,152.46x = 4,115,991.01
  5. Step 5: Solve for x
    x = 4,115,991.01/2,152.46
  6. Step 6: Final answer
    x = 1,912.23

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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.