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Finding the Fourth Proportional to 2,765.97, 3,822.26 and 2,181.15

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Solution

The fourth proportional to 2,765.97, 3,822.26 and 2,181.15 is: 3,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.97 : 3,822.26 = 2,181.15 : x
  2. Step 2: Convert to fraction form
    2,765.97/3,822.26 = 2,181.15/x
  3. Step 3: Cross multiply
    2,765.97x = 3,822.26 × 2,181.15
  4. Step 4: Simplify right side
    2,765.97x = 8,336,911.49
  5. Step 5: Solve for x
    x = 8,336,911.49/2,765.97
  6. Step 6: Final answer
    x = 3,014.10

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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.