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Finding the Fourth Proportional to 2,181.82, 3,266.54 and 1,449.94

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Solution

The fourth proportional to 2,181.82, 3,266.54 and 1,449.94 is: 2,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.82 : 3,266.54 = 1,449.94 : x
  2. Step 2: Convert to fraction form
    2,181.82/3,266.54 = 1,449.94/x
  3. Step 3: Cross multiply
    2,181.82x = 3,266.54 × 1,449.94
  4. Step 4: Simplify right side
    2,181.82x = 4,736,287.01
  5. Step 5: Solve for x
    x = 4,736,287.01/2,181.82
  6. Step 6: Final answer
    x = 2,170.80

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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.