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Finding the Fourth Proportional to 3,179.68, 4,768.34 and 1,099.13

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Solution

The fourth proportional to 3,179.68, 4,768.34 and 1,099.13 is: 1,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.68 : 4,768.34 = 1,099.13 : x
  2. Step 2: Convert to fraction form
    3,179.68/4,768.34 = 1,099.13/x
  3. Step 3: Cross multiply
    3,179.68x = 4,768.34 × 1,099.13
  4. Step 4: Simplify right side
    3,179.68x = 5,240,996.21
  5. Step 5: Solve for x
    x = 5,240,996.21/3,179.68
  6. Step 6: Final answer
    x = 1,648.28

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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.