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Finding the Fourth Proportional to 1,906.53, 2,863.92 and 1,614.63

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Solution

The fourth proportional to 1,906.53, 2,863.92 and 1,614.63 is: 2,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.53 : 2,863.92 = 1,614.63 : x
  2. Step 2: Convert to fraction form
    1,906.53/2,863.92 = 1,614.63/x
  3. Step 3: Cross multiply
    1,906.53x = 2,863.92 × 1,614.63
  4. Step 4: Simplify right side
    1,906.53x = 4,624,171.15
  5. Step 5: Solve for x
    x = 4,624,171.15/1,906.53
  6. Step 6: Final answer
    x = 2,425.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.