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Finding the Fourth Proportional to 2,270.12, 3,404.16 and 808.27

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Solution

The fourth proportional to 2,270.12, 3,404.16 and 808.27 is: 1,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.12 : 3,404.16 = 808.27 : x
  2. Step 2: Convert to fraction form
    2,270.12/3,404.16 = 808.27/x
  3. Step 3: Cross multiply
    2,270.12x = 3,404.16 × 808.27
  4. Step 4: Simplify right side
    2,270.12x = 2,751,471.89
  5. Step 5: Solve for x
    x = 2,751,471.89/2,270.12
  6. Step 6: Final answer
    x = 1,212.04

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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.