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Finding the Fourth Proportional to 2,059.73, 3,091.19 and 827.93

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Solution

The fourth proportional to 2,059.73, 3,091.19 and 827.93 is: 1,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.73 : 3,091.19 = 827.93 : x
  2. Step 2: Convert to fraction form
    2,059.73/3,091.19 = 827.93/x
  3. Step 3: Cross multiply
    2,059.73x = 3,091.19 × 827.93
  4. Step 4: Simplify right side
    2,059.73x = 2,559,288.94
  5. Step 5: Solve for x
    x = 2,559,288.94/2,059.73
  6. Step 6: Final answer
    x = 1,242.54

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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.