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Finding the Fourth Proportional to 2,033.25, 3,049.88 and 494.25

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Solution

The fourth proportional to 2,033.25, 3,049.88 and 494.25 is: 741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.25 : 3,049.88 = 494.25 : x
  2. Step 2: Convert to fraction form
    2,033.25/3,049.88 = 494.25/x
  3. Step 3: Cross multiply
    2,033.25x = 3,049.88 × 494.25
  4. Step 4: Simplify right side
    2,033.25x = 1,507,400.72
  5. Step 5: Solve for x
    x = 1,507,400.72/2,033.25
  6. Step 6: Final answer
    x = 741.38

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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.