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Finding the Fourth Proportional to 1,757.88, 2,636.03 and 935.97

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Solution

The fourth proportional to 1,757.88, 2,636.03 and 935.97 is: 1,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.88 : 2,636.03 = 935.97 : x
  2. Step 2: Convert to fraction form
    1,757.88/2,636.03 = 935.97/x
  3. Step 3: Cross multiply
    1,757.88x = 2,636.03 × 935.97
  4. Step 4: Simplify right side
    1,757.88x = 2,467,240.32
  5. Step 5: Solve for x
    x = 2,467,240.32/1,757.88
  6. Step 6: Final answer
    x = 1,403.53

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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.