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Finding the Fourth Proportional to 2,067.78, 3,100.68 and 606.63

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Solution

The fourth proportional to 2,067.78, 3,100.68 and 606.63 is: 909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.78 : 3,100.68 = 606.63 : x
  2. Step 2: Convert to fraction form
    2,067.78/3,100.68 = 606.63/x
  3. Step 3: Cross multiply
    2,067.78x = 3,100.68 × 606.63
  4. Step 4: Simplify right side
    2,067.78x = 1,880,965.51
  5. Step 5: Solve for x
    x = 1,880,965.51/2,067.78
  6. Step 6: Final answer
    x = 909.65

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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.