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Finding the Fourth Proportional to 3,212.80, 4,433.60 and 1,796.60

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Solution

The fourth proportional to 3,212.80, 4,433.60 and 1,796.60 is: 2,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.80 : 4,433.60 = 1,796.60 : x
  2. Step 2: Convert to fraction form
    3,212.80/4,433.60 = 1,796.60/x
  3. Step 3: Cross multiply
    3,212.80x = 4,433.60 × 1,796.60
  4. Step 4: Simplify right side
    3,212.80x = 7,965,421.34
  5. Step 5: Solve for x
    x = 7,965,421.34/3,212.80
  6. Step 6: Final answer
    x = 2,479.28

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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.