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Finding the Fourth Proportional to 2,599.03, 3,898.82 and 843.97

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Solution

The fourth proportional to 2,599.03, 3,898.82 and 843.97 is: 1,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.03 : 3,898.82 = 843.97 : x
  2. Step 2: Convert to fraction form
    2,599.03/3,898.82 = 843.97/x
  3. Step 3: Cross multiply
    2,599.03x = 3,898.82 × 843.97
  4. Step 4: Simplify right side
    2,599.03x = 3,290,487.12
  5. Step 5: Solve for x
    x = 3,290,487.12/2,599.03
  6. Step 6: Final answer
    x = 1,266.04

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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.