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Finding the Fourth Proportional to 2,846.94, 4,262.10 and 1,747.97

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Solution

The fourth proportional to 2,846.94, 4,262.10 and 1,747.97 is: 2,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.94 : 4,262.10 = 1,747.97 : x
  2. Step 2: Convert to fraction form
    2,846.94/4,262.10 = 1,747.97/x
  3. Step 3: Cross multiply
    2,846.94x = 4,262.10 × 1,747.97
  4. Step 4: Simplify right side
    2,846.94x = 7,450,022.94
  5. Step 5: Solve for x
    x = 7,450,022.94/2,846.94
  6. Step 6: Final answer
    x = 2,616.86

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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.