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Finding the Fourth Proportional to 2,898.25, 3,996.88 and 2,234.05

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Solution

The fourth proportional to 2,898.25, 3,996.88 and 2,234.05 is: 3,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.25 : 3,996.88 = 2,234.05 : x
  2. Step 2: Convert to fraction form
    2,898.25/3,996.88 = 2,234.05/x
  3. Step 3: Cross multiply
    2,898.25x = 3,996.88 × 2,234.05
  4. Step 4: Simplify right side
    2,898.25x = 8,929,229.76
  5. Step 5: Solve for x
    x = 8,929,229.76/2,898.25
  6. Step 6: Final answer
    x = 3,080.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.