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Finding the Fourth Proportional to 2,034.75, 3,052.13 and 495.75

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Solution

The fourth proportional to 2,034.75, 3,052.13 and 495.75 is: 743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.75 : 3,052.13 = 495.75 : x
  2. Step 2: Convert to fraction form
    2,034.75/3,052.13 = 495.75/x
  3. Step 3: Cross multiply
    2,034.75x = 3,052.13 × 495.75
  4. Step 4: Simplify right side
    2,034.75x = 1,513,090.97
  5. Step 5: Solve for x
    x = 1,513,090.97/2,034.75
  6. Step 6: Final answer
    x = 743.63

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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.