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Finding the Fourth Proportional to 3,411.56, 5,119.69 and 1,190.41

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Solution

The fourth proportional to 3,411.56, 5,119.69 and 1,190.41 is: 1,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.56 : 5,119.69 = 1,190.41 : x
  2. Step 2: Convert to fraction form
    3,411.56/5,119.69 = 1,190.41/x
  3. Step 3: Cross multiply
    3,411.56x = 5,119.69 × 1,190.41
  4. Step 4: Simplify right side
    3,411.56x = 6,094,545.43
  5. Step 5: Solve for x
    x = 6,094,545.43/3,411.56
  6. Step 6: Final answer
    x = 1,786.44

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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.