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Finding the Fourth Proportional to 2,066.27, 3,099.51 and 605.54

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Solution

The fourth proportional to 2,066.27, 3,099.51 and 605.54 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.27 : 3,099.51 = 605.54 : x
  2. Step 2: Convert to fraction form
    2,066.27/3,099.51 = 605.54/x
  3. Step 3: Cross multiply
    2,066.27x = 3,099.51 × 605.54
  4. Step 4: Simplify right side
    2,066.27x = 1,876,877.29
  5. Step 5: Solve for x
    x = 1,876,877.29/2,066.27
  6. Step 6: Final answer
    x = 908.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.