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Finding the Fourth Proportional to 2,033.24, 3,049.86 and 494.24

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Solution

The fourth proportional to 2,033.24, 3,049.86 and 494.24 is: 741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.24 : 3,049.86 = 494.24 : x
  2. Step 2: Convert to fraction form
    2,033.24/3,049.86 = 494.24/x
  3. Step 3: Cross multiply
    2,033.24x = 3,049.86 × 494.24
  4. Step 4: Simplify right side
    2,033.24x = 1,507,362.81
  5. Step 5: Solve for x
    x = 1,507,362.81/2,033.24
  6. Step 6: Final answer
    x = 741.36

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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.