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Finding the Fourth Proportional to 3,008.22, 4,512.57 and 817.14

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Solution

The fourth proportional to 3,008.22, 4,512.57 and 817.14 is: 1,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.22 : 4,512.57 = 817.14 : x
  2. Step 2: Convert to fraction form
    3,008.22/4,512.57 = 817.14/x
  3. Step 3: Cross multiply
    3,008.22x = 4,512.57 × 817.14
  4. Step 4: Simplify right side
    3,008.22x = 3,687,401.45
  5. Step 5: Solve for x
    x = 3,687,401.45/3,008.22
  6. Step 6: Final answer
    x = 1,225.78

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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.