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Finding the Fourth Proportional to 1,791, 2,685.51 and 1,205.97

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Solution

The fourth proportional to 1,791, 2,685.51 and 1,205.97 is: 1,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791 : 2,685.51 = 1,205.97 : x
  2. Step 2: Convert to fraction form
    1,791/2,685.51 = 1,205.97/x
  3. Step 3: Cross multiply
    1,791x = 2,685.51 × 1,205.97
  4. Step 4: Simplify right side
    1,791x = 3,238,644.49
  5. Step 5: Solve for x
    x = 3,238,644.49/1,791
  6. Step 6: Final answer
    x = 1,808.29

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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.