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Finding the Fourth Proportional to 2,034.41, 3,051.62 and 495.41

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Solution

The fourth proportional to 2,034.41, 3,051.62 and 495.41 is: 743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.41 : 3,051.62 = 495.41 : x
  2. Step 2: Convert to fraction form
    2,034.41/3,051.62 = 495.41/x
  3. Step 3: Cross multiply
    2,034.41x = 3,051.62 × 495.41
  4. Step 4: Simplify right side
    2,034.41x = 1,511,800.59
  5. Step 5: Solve for x
    x = 1,511,800.59/2,034.41
  6. Step 6: Final answer
    x = 743.12

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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.