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Finding the Fourth Proportional to 2,066.24, 3,099.87 and 605.39

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Solution

The fourth proportional to 2,066.24, 3,099.87 and 605.39 is: 908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.24 : 3,099.87 = 605.39 : x
  2. Step 2: Convert to fraction form
    2,066.24/3,099.87 = 605.39/x
  3. Step 3: Cross multiply
    2,066.24x = 3,099.87 × 605.39
  4. Step 4: Simplify right side
    2,066.24x = 1,876,632.24
  5. Step 5: Solve for x
    x = 1,876,632.24/2,066.24
  6. Step 6: Final answer
    x = 908.23

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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.