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Finding the Fourth Proportional to 3,266.17, 4,899.15 and 800.98

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Solution

The fourth proportional to 3,266.17, 4,899.15 and 800.98 is: 1,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.17 : 4,899.15 = 800.98 : x
  2. Step 2: Convert to fraction form
    3,266.17/4,899.15 = 800.98/x
  3. Step 3: Cross multiply
    3,266.17x = 4,899.15 × 800.98
  4. Step 4: Simplify right side
    3,266.17x = 3,924,121.17
  5. Step 5: Solve for x
    x = 3,924,121.17/3,266.17
  6. Step 6: Final answer
    x = 1,201.44

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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.