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Finding the Fourth Proportional to 2,016, 3,021.84 and 845.71

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Solution

The fourth proportional to 2,016, 3,021.84 and 845.71 is: 1,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 3,021.84 = 845.71 : x
  2. Step 2: Convert to fraction form
    2,016/3,021.84 = 845.71/x
  3. Step 3: Cross multiply
    2,016x = 3,021.84 × 845.71
  4. Step 4: Simplify right side
    2,016x = 2,555,592.75
  5. Step 5: Solve for x
    x = 2,555,592.75/2,016
  6. Step 6: Final answer
    x = 1,267.66

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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.