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Finding the Fourth Proportional to 2,765.82, 3,805.50 and 2,391.60

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Solution

The fourth proportional to 2,765.82, 3,805.50 and 2,391.60 is: 3,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.82 : 3,805.50 = 2,391.60 : x
  2. Step 2: Convert to fraction form
    2,765.82/3,805.50 = 2,391.60/x
  3. Step 3: Cross multiply
    2,765.82x = 3,805.50 × 2,391.60
  4. Step 4: Simplify right side
    2,765.82x = 9,101,233.80
  5. Step 5: Solve for x
    x = 9,101,233.80/2,765.82
  6. Step 6: Final answer
    x = 3,290.61

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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.