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Finding the Fourth Proportional to 2,617.02, 3,922.70 and 1,229.49

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Solution

The fourth proportional to 2,617.02, 3,922.70 and 1,229.49 is: 1,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.02 : 3,922.70 = 1,229.49 : x
  2. Step 2: Convert to fraction form
    2,617.02/3,922.70 = 1,229.49/x
  3. Step 3: Cross multiply
    2,617.02x = 3,922.70 × 1,229.49
  4. Step 4: Simplify right side
    2,617.02x = 4,822,914.28
  5. Step 5: Solve for x
    x = 4,822,914.28/2,617.02
  6. Step 6: Final answer
    x = 1,842.90

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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.