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Finding the Fourth Proportional to 2,067.18, 3,101.08 and 606.16

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Solution

The fourth proportional to 2,067.18, 3,101.08 and 606.16 is: 909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.18 : 3,101.08 = 606.16 : x
  2. Step 2: Convert to fraction form
    2,067.18/3,101.08 = 606.16/x
  3. Step 3: Cross multiply
    2,067.18x = 3,101.08 × 606.16
  4. Step 4: Simplify right side
    2,067.18x = 1,879,750.65
  5. Step 5: Solve for x
    x = 1,879,750.65/2,067.18
  6. Step 6: Final answer
    x = 909.33

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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.