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Finding the Fourth Proportional to 2,201.48, 3,299.89 and 794.96

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Solution

The fourth proportional to 2,201.48, 3,299.89 and 794.96 is: 1,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.48 : 3,299.89 = 794.96 : x
  2. Step 2: Convert to fraction form
    2,201.48/3,299.89 = 794.96/x
  3. Step 3: Cross multiply
    2,201.48x = 3,299.89 × 794.96
  4. Step 4: Simplify right side
    2,201.48x = 2,623,280.55
  5. Step 5: Solve for x
    x = 2,623,280.55/2,201.48
  6. Step 6: Final answer
    x = 1,191.60

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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.