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Finding the Fourth Proportional to 1,633.90, 2,449.41 and 769.26

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Solution

The fourth proportional to 1,633.90, 2,449.41 and 769.26 is: 1,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.90 : 2,449.41 = 769.26 : x
  2. Step 2: Convert to fraction form
    1,633.90/2,449.41 = 769.26/x
  3. Step 3: Cross multiply
    1,633.90x = 2,449.41 × 769.26
  4. Step 4: Simplify right side
    1,633.90x = 1,884,233.14
  5. Step 5: Solve for x
    x = 1,884,233.14/1,633.90
  6. Step 6: Final answer
    x = 1,153.21

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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.