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Finding the Fourth Proportional to 2,067.59, 3,101.05 and 606.40

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Solution

The fourth proportional to 2,067.59, 3,101.05 and 606.40 is: 909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.59 : 3,101.05 = 606.40 : x
  2. Step 2: Convert to fraction form
    2,067.59/3,101.05 = 606.40/x
  3. Step 3: Cross multiply
    2,067.59x = 3,101.05 × 606.40
  4. Step 4: Simplify right side
    2,067.59x = 1,880,469.73
  5. Step 5: Solve for x
    x = 1,880,469.73/2,067.59
  6. Step 6: Final answer
    x = 909.50

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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.