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Finding the Fourth Proportional to 2,422.87, 3,634.31 and 1,729.87

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Solution

The fourth proportional to 2,422.87, 3,634.31 and 1,729.87 is: 2,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.87 : 3,634.31 = 1,729.87 : x
  2. Step 2: Convert to fraction form
    2,422.87/3,634.31 = 1,729.87/x
  3. Step 3: Cross multiply
    2,422.87x = 3,634.31 × 1,729.87
  4. Step 4: Simplify right side
    2,422.87x = 6,286,883.84
  5. Step 5: Solve for x
    x = 6,286,883.84/2,422.87
  6. Step 6: Final answer
    x = 2,594.81

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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.