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Finding the Fourth Proportional to 2,100.82, 3,151.55 and 694.80

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Solution

The fourth proportional to 2,100.82, 3,151.55 and 694.80 is: 1,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.82 : 3,151.55 = 694.80 : x
  2. Step 2: Convert to fraction form
    2,100.82/3,151.55 = 694.80/x
  3. Step 3: Cross multiply
    2,100.82x = 3,151.55 × 694.80
  4. Step 4: Simplify right side
    2,100.82x = 2,189,696.94
  5. Step 5: Solve for x
    x = 2,189,696.94/2,100.82
  6. Step 6: Final answer
    x = 1,042.31

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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.