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Finding the Fourth Proportional to 4,141.39, 6,212.19 and 1,219.80

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Solution

The fourth proportional to 4,141.39, 6,212.19 and 1,219.80 is: 1,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.39 : 6,212.19 = 1,219.80 : x
  2. Step 2: Convert to fraction form
    4,141.39/6,212.19 = 1,219.80/x
  3. Step 3: Cross multiply
    4,141.39x = 6,212.19 × 1,219.80
  4. Step 4: Simplify right side
    4,141.39x = 7,577,629.36
  5. Step 5: Solve for x
    x = 7,577,629.36/4,141.39
  6. Step 6: Final answer
    x = 1,829.73

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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.