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Finding the Fourth Proportional to 2,874.49, 4,308.12 and 1,229.11

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Solution

The fourth proportional to 2,874.49, 4,308.12 and 1,229.11 is: 1,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.49 : 4,308.12 = 1,229.11 : x
  2. Step 2: Convert to fraction form
    2,874.49/4,308.12 = 1,229.11/x
  3. Step 3: Cross multiply
    2,874.49x = 4,308.12 × 1,229.11
  4. Step 4: Simplify right side
    2,874.49x = 5,295,142.60
  5. Step 5: Solve for x
    x = 5,295,142.60/2,874.49
  6. Step 6: Final answer
    x = 1,842.12

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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.