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Finding the Fourth Proportional to 2,066.78, 3,100.28 and 605.96

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Solution

The fourth proportional to 2,066.78, 3,100.28 and 605.96 is: 908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.78 : 3,100.28 = 605.96 : x
  2. Step 2: Convert to fraction form
    2,066.78/3,100.28 = 605.96/x
  3. Step 3: Cross multiply
    2,066.78x = 3,100.28 × 605.96
  4. Step 4: Simplify right side
    2,066.78x = 1,878,645.67
  5. Step 5: Solve for x
    x = 1,878,645.67/2,066.78
  6. Step 6: Final answer
    x = 908.97

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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.