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Finding the Fourth Proportional to 2,062.39, 3,093.73 and 829.80

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Solution

The fourth proportional to 2,062.39, 3,093.73 and 829.80 is: 1,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.39 : 3,093.73 = 829.80 : x
  2. Step 2: Convert to fraction form
    2,062.39/3,093.73 = 829.80/x
  3. Step 3: Cross multiply
    2,062.39x = 3,093.73 × 829.80
  4. Step 4: Simplify right side
    2,062.39x = 2,567,177.15
  5. Step 5: Solve for x
    x = 2,567,177.15/2,062.39
  6. Step 6: Final answer
    x = 1,244.76

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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.