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Finding the Fourth Proportional to 3,179.47, 4,769.41 and 1,099.67

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Solution

The fourth proportional to 3,179.47, 4,769.41 and 1,099.67 is: 1,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.47 : 4,769.41 = 1,099.67 : x
  2. Step 2: Convert to fraction form
    3,179.47/4,769.41 = 1,099.67/x
  3. Step 3: Cross multiply
    3,179.47x = 4,769.41 × 1,099.67
  4. Step 4: Simplify right side
    3,179.47x = 5,244,790.39
  5. Step 5: Solve for x
    x = 5,244,790.39/3,179.47
  6. Step 6: Final answer
    x = 1,649.58

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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.