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Finding the Fourth Proportional to 2,060.18, 3,091.57 and 827.42

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Solution

The fourth proportional to 2,060.18, 3,091.57 and 827.42 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.18 : 3,091.57 = 827.42 : x
  2. Step 2: Convert to fraction form
    2,060.18/3,091.57 = 827.42/x
  3. Step 3: Cross multiply
    2,060.18x = 3,091.57 × 827.42
  4. Step 4: Simplify right side
    2,060.18x = 2,558,009.32
  5. Step 5: Solve for x
    x = 2,558,009.32/2,060.18
  6. Step 6: Final answer
    x = 1,241.64

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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.