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Finding the Fourth Proportional to 4,141.44, 6,213.42 and 1,219.77

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Solution

The fourth proportional to 4,141.44, 6,213.42 and 1,219.77 is: 1,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.44 : 6,213.42 = 1,219.77 : x
  2. Step 2: Convert to fraction form
    4,141.44/6,213.42 = 1,219.77/x
  3. Step 3: Cross multiply
    4,141.44x = 6,213.42 × 1,219.77
  4. Step 4: Simplify right side
    4,141.44x = 7,578,943.31
  5. Step 5: Solve for x
    x = 7,578,943.31/4,141.44
  6. Step 6: Final answer
    x = 1,830.03

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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.