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Finding the Fourth Proportional to 2,270.75, 3,406.05 and 808.88

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Solution

The fourth proportional to 2,270.75, 3,406.05 and 808.88 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.75 : 3,406.05 = 808.88 : x
  2. Step 2: Convert to fraction form
    2,270.75/3,406.05 = 808.88/x
  3. Step 3: Cross multiply
    2,270.75x = 3,406.05 × 808.88
  4. Step 4: Simplify right side
    2,270.75x = 2,755,085.72
  5. Step 5: Solve for x
    x = 2,755,085.72/2,270.75
  6. Step 6: Final answer
    x = 1,213.29

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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.