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Finding the Fourth Proportional to 2,202.10, 3,303.46 and 796.41

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Solution

The fourth proportional to 2,202.10, 3,303.46 and 796.41 is: 1,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.10 : 3,303.46 = 796.41 : x
  2. Step 2: Convert to fraction form
    2,202.10/3,303.46 = 796.41/x
  3. Step 3: Cross multiply
    2,202.10x = 3,303.46 × 796.41
  4. Step 4: Simplify right side
    2,202.10x = 2,630,908.58
  5. Step 5: Solve for x
    x = 2,630,908.58/2,202.10
  6. Step 6: Final answer
    x = 1,194.73

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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.