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Finding the Fourth Proportional to 2,081.78, 3,123.12 and 694.86

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Solution

The fourth proportional to 2,081.78, 3,123.12 and 694.86 is: 1,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.78 : 3,123.12 = 694.86 : x
  2. Step 2: Convert to fraction form
    2,081.78/3,123.12 = 694.86/x
  3. Step 3: Cross multiply
    2,081.78x = 3,123.12 × 694.86
  4. Step 4: Simplify right side
    2,081.78x = 2,170,131.16
  5. Step 5: Solve for x
    x = 2,170,131.16/2,081.78
  6. Step 6: Final answer
    x = 1,042.44

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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.