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Finding the Fourth Proportional to 2,272.76, 3,408.78 and 811.62

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Solution

The fourth proportional to 2,272.76, 3,408.78 and 811.62 is: 1,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.76 : 3,408.78 = 811.62 : x
  2. Step 2: Convert to fraction form
    2,272.76/3,408.78 = 811.62/x
  3. Step 3: Cross multiply
    2,272.76x = 3,408.78 × 811.62
  4. Step 4: Simplify right side
    2,272.76x = 2,766,637.07
  5. Step 5: Solve for x
    x = 2,766,637.07/2,272.76
  6. Step 6: Final answer
    x = 1,217.30

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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.