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Finding the Fourth Proportional to 2,033.73, 3,050.57 and 494.73

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Solution

The fourth proportional to 2,033.73, 3,050.57 and 494.73 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.73 : 3,050.57 = 494.73 : x
  2. Step 2: Convert to fraction form
    2,033.73/3,050.57 = 494.73/x
  3. Step 3: Cross multiply
    2,033.73x = 3,050.57 × 494.73
  4. Step 4: Simplify right side
    2,033.73x = 1,509,209.73
  5. Step 5: Solve for x
    x = 1,509,209.73/2,033.73
  6. Step 6: Final answer
    x = 742.09

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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.