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Finding the Fourth Proportional to 2,573.14, 3,859.24 and 818.33

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Solution

The fourth proportional to 2,573.14, 3,859.24 and 818.33 is: 1,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.14 : 3,859.24 = 818.33 : x
  2. Step 2: Convert to fraction form
    2,573.14/3,859.24 = 818.33/x
  3. Step 3: Cross multiply
    2,573.14x = 3,859.24 × 818.33
  4. Step 4: Simplify right side
    2,573.14x = 3,158,108.48
  5. Step 5: Solve for x
    x = 3,158,108.48/2,573.14
  6. Step 6: Final answer
    x = 1,227.34

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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.