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Finding the Fourth Proportional to 2,564.25, 3,846.92 and 833.01

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Solution

The fourth proportional to 2,564.25, 3,846.92 and 833.01 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.25 : 3,846.92 = 833.01 : x
  2. Step 2: Convert to fraction form
    2,564.25/3,846.92 = 833.01/x
  3. Step 3: Cross multiply
    2,564.25x = 3,846.92 × 833.01
  4. Step 4: Simplify right side
    2,564.25x = 3,204,518.66
  5. Step 5: Solve for x
    x = 3,204,518.66/2,564.25
  6. Step 6: Final answer
    x = 1,249.69

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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.