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Finding the Fourth Proportional to 2,067.43, 3,101.44 and 606.39

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Solution

The fourth proportional to 2,067.43, 3,101.44 and 606.39 is: 909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.43 : 3,101.44 = 606.39 : x
  2. Step 2: Convert to fraction form
    2,067.43/3,101.44 = 606.39/x
  3. Step 3: Cross multiply
    2,067.43x = 3,101.44 × 606.39
  4. Step 4: Simplify right side
    2,067.43x = 1,880,666.69
  5. Step 5: Solve for x
    x = 1,880,666.69/2,067.43
  6. Step 6: Final answer
    x = 909.67

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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.