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Finding the Fourth Proportional to 3,257.22, 4,494.96 and 1,765.11

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Solution

The fourth proportional to 3,257.22, 4,494.96 and 1,765.11 is: 2,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.22 : 4,494.96 = 1,765.11 : x
  2. Step 2: Convert to fraction form
    3,257.22/4,494.96 = 1,765.11/x
  3. Step 3: Cross multiply
    3,257.22x = 4,494.96 × 1,765.11
  4. Step 4: Simplify right side
    3,257.22x = 7,934,098.85
  5. Step 5: Solve for x
    x = 7,934,098.85/3,257.22
  6. Step 6: Final answer
    x = 2,435.85

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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.