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Finding the Fourth Proportional to 2,060.23, 3,090.73 and 827.73

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Solution

The fourth proportional to 2,060.23, 3,090.73 and 827.73 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.23 : 3,090.73 = 827.73 : x
  2. Step 2: Convert to fraction form
    2,060.23/3,090.73 = 827.73/x
  3. Step 3: Cross multiply
    2,060.23x = 3,090.73 × 827.73
  4. Step 4: Simplify right side
    2,060.23x = 2,558,292.61
  5. Step 5: Solve for x
    x = 2,558,292.61/2,060.23
  6. Step 6: Final answer
    x = 1,241.75

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