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Finding the Fourth Proportional to 2,067.86, 3,101.31 and 606.62

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Solution

The fourth proportional to 2,067.86, 3,101.31 and 606.62 is: 909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 3,101.31 = 606.62 : x
  2. Step 2: Convert to fraction form
    2,067.86/3,101.31 = 606.62/x
  3. Step 3: Cross multiply
    2,067.86x = 3,101.31 × 606.62
  4. Step 4: Simplify right side
    2,067.86x = 1,881,316.67
  5. Step 5: Solve for x
    x = 1,881,316.67/2,067.86
  6. Step 6: Final answer
    x = 909.79

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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.