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Finding the Fourth Proportional to 2,067.12, 3,100.71 and 606.30

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Solution

The fourth proportional to 2,067.12, 3,100.71 and 606.30 is: 909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.12 : 3,100.71 = 606.30 : x
  2. Step 2: Convert to fraction form
    2,067.12/3,100.71 = 606.30/x
  3. Step 3: Cross multiply
    2,067.12x = 3,100.71 × 606.30
  4. Step 4: Simplify right side
    2,067.12x = 1,879,960.47
  5. Step 5: Solve for x
    x = 1,879,960.47/2,067.12
  6. Step 6: Final answer
    x = 909.46

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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.