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Finding the Fourth Proportional to 2,092.33, 3,139.04 and 793.09

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Solution

The fourth proportional to 2,092.33, 3,139.04 and 793.09 is: 1,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.33 : 3,139.04 = 793.09 : x
  2. Step 2: Convert to fraction form
    2,092.33/3,139.04 = 793.09/x
  3. Step 3: Cross multiply
    2,092.33x = 3,139.04 × 793.09
  4. Step 4: Simplify right side
    2,092.33x = 2,489,541.23
  5. Step 5: Solve for x
    x = 2,489,541.23/2,092.33
  6. Step 6: Final answer
    x = 1,189.84

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1.5x scale

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.