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Finding the Fourth Proportional to 4,141.39, 6,213.12 and 1,219.69

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Solution

The fourth proportional to 4,141.39, 6,213.12 and 1,219.69 is: 1,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.39 : 6,213.12 = 1,219.69 : x
  2. Step 2: Convert to fraction form
    4,141.39/6,213.12 = 1,219.69/x
  3. Step 3: Cross multiply
    4,141.39x = 6,213.12 × 1,219.69
  4. Step 4: Simplify right side
    4,141.39x = 7,578,080.33
  5. Step 5: Solve for x
    x = 7,578,080.33/4,141.39
  6. Step 6: Final answer
    x = 1,829.84

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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.