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Finding the Fourth Proportional to 1,936.30, 2,672.09 and 1,052.09

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Solution

The fourth proportional to 1,936.30, 2,672.09 and 1,052.09 is: 1,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.30 : 2,672.09 = 1,052.09 : x
  2. Step 2: Convert to fraction form
    1,936.30/2,672.09 = 1,052.09/x
  3. Step 3: Cross multiply
    1,936.30x = 2,672.09 × 1,052.09
  4. Step 4: Simplify right side
    1,936.30x = 2,811,280.59
  5. Step 5: Solve for x
    x = 2,811,280.59/1,936.30
  6. Step 6: Final answer
    x = 1,451.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.