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Finding the Fourth Proportional to 1,757.37, 2,636.46 and 936.43

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Solution

The fourth proportional to 1,757.37, 2,636.46 and 936.43 is: 1,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.37 : 2,636.46 = 936.43 : x
  2. Step 2: Convert to fraction form
    1,757.37/2,636.46 = 936.43/x
  3. Step 3: Cross multiply
    1,757.37x = 2,636.46 × 936.43
  4. Step 4: Simplify right side
    1,757.37x = 2,468,860.24
  5. Step 5: Solve for x
    x = 2,468,860.24/1,757.37
  6. Step 6: Final answer
    x = 1,404.86

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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.