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Finding the Fourth Proportional to 2,066.76, 3,100 and 605.78

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Solution

The fourth proportional to 2,066.76, 3,100 and 605.78 is: 908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.76 : 3,100 = 605.78 : x
  2. Step 2: Convert to fraction form
    2,066.76/3,100 = 605.78/x
  3. Step 3: Cross multiply
    2,066.76x = 3,100 × 605.78
  4. Step 4: Simplify right side
    2,066.76x = 1,877,918
  5. Step 5: Solve for x
    x = 1,877,918/2,066.76
  6. Step 6: Final answer
    x = 908.63

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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.