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Finding the Fourth Proportional to 2,573.22, 3,859.85 and 625.43

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Solution

The fourth proportional to 2,573.22, 3,859.85 and 625.43 is: 938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.22 : 3,859.85 = 625.43 : x
  2. Step 2: Convert to fraction form
    2,573.22/3,859.85 = 625.43/x
  3. Step 3: Cross multiply
    2,573.22x = 3,859.85 × 625.43
  4. Step 4: Simplify right side
    2,573.22x = 2,414,043.56
  5. Step 5: Solve for x
    x = 2,414,043.56/2,573.22
  6. Step 6: Final answer
    x = 938.14

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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.