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Finding the Fourth Proportional to 2,675.82, 3,694.69 and 2,085.33

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Solution

The fourth proportional to 2,675.82, 3,694.69 and 2,085.33 is: 2,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.82 : 3,694.69 = 2,085.33 : x
  2. Step 2: Convert to fraction form
    2,675.82/3,694.69 = 2,085.33/x
  3. Step 3: Cross multiply
    2,675.82x = 3,694.69 × 2,085.33
  4. Step 4: Simplify right side
    2,675.82x = 7,704,647.90
  5. Step 5: Solve for x
    x = 7,704,647.90/2,675.82
  6. Step 6: Final answer
    x = 2,879.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.