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Finding the Fourth Proportional to 2,034.73, 3,052.07 and 495.73

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Solution

The fourth proportional to 2,034.73, 3,052.07 and 495.73 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.73 : 3,052.07 = 495.73 : x
  2. Step 2: Convert to fraction form
    2,034.73/3,052.07 = 495.73/x
  3. Step 3: Cross multiply
    2,034.73x = 3,052.07 × 495.73
  4. Step 4: Simplify right side
    2,034.73x = 1,513,002.66
  5. Step 5: Solve for x
    x = 1,513,002.66/2,034.73
  6. Step 6: Final answer
    x = 743.59

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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.