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Finding the Fourth Proportional to 2,063.43, 3,096.06 and 833.25

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Solution

The fourth proportional to 2,063.43, 3,096.06 and 833.25 is: 1,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.43 : 3,096.06 = 833.25 : x
  2. Step 2: Convert to fraction form
    2,063.43/3,096.06 = 833.25/x
  3. Step 3: Cross multiply
    2,063.43x = 3,096.06 × 833.25
  4. Step 4: Simplify right side
    2,063.43x = 2,579,777.87
  5. Step 5: Solve for x
    x = 2,579,777.87/2,063.43
  6. Step 6: Final answer
    x = 1,250.24

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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.