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Finding the Fourth Proportional to 2,181.96, 3,270.96 and 1,086.66

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Solution

The fourth proportional to 2,181.96, 3,270.96 and 1,086.66 is: 1,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.96 : 3,270.96 = 1,086.66 : x
  2. Step 2: Convert to fraction form
    2,181.96/3,270.96 = 1,086.66/x
  3. Step 3: Cross multiply
    2,181.96x = 3,270.96 × 1,086.66
  4. Step 4: Simplify right side
    2,181.96x = 3,554,421.39
  5. Step 5: Solve for x
    x = 3,554,421.39/2,181.96
  6. Step 6: Final answer
    x = 1,629.00

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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.