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Finding the Fourth Proportional to 3,099.60, 4,650.14 and 908.33

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Solution

The fourth proportional to 3,099.60, 4,650.14 and 908.33 is: 1,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.60 : 4,650.14 = 908.33 : x
  2. Step 2: Convert to fraction form
    3,099.60/4,650.14 = 908.33/x
  3. Step 3: Cross multiply
    3,099.60x = 4,650.14 × 908.33
  4. Step 4: Simplify right side
    3,099.60x = 4,223,840.69
  5. Step 5: Solve for x
    x = 4,223,840.69/3,099.60
  6. Step 6: Final answer
    x = 1,362.71

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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.