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Finding the Fourth Proportional to 1,757.92, 2,636.78 and 892.21

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Solution

The fourth proportional to 1,757.92, 2,636.78 and 892.21 is: 1,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.92 : 2,636.78 = 892.21 : x
  2. Step 2: Convert to fraction form
    1,757.92/2,636.78 = 892.21/x
  3. Step 3: Cross multiply
    1,757.92x = 2,636.78 × 892.21
  4. Step 4: Simplify right side
    1,757.92x = 2,352,561.48
  5. Step 5: Solve for x
    x = 2,352,561.48/1,757.92
  6. Step 6: Final answer
    x = 1,338.26

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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.