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Finding the Fourth Proportional to 2,181.82, 3,273.60 and 795.25

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Solution

The fourth proportional to 2,181.82, 3,273.60 and 795.25 is: 1,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.82 : 3,273.60 = 795.25 : x
  2. Step 2: Convert to fraction form
    2,181.82/3,273.60 = 795.25/x
  3. Step 3: Cross multiply
    2,181.82x = 3,273.60 × 795.25
  4. Step 4: Simplify right side
    2,181.82x = 2,603,326.42
  5. Step 5: Solve for x
    x = 2,603,326.42/2,181.82
  6. Step 6: Final answer
    x = 1,193.19

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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.