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Finding the Fourth Proportional to 2,846, 4,270.68 and 1,202.44

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Solution

The fourth proportional to 2,846, 4,270.68 and 1,202.44 is: 1,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846 : 4,270.68 = 1,202.44 : x
  2. Step 2: Convert to fraction form
    2,846/4,270.68 = 1,202.44/x
  3. Step 3: Cross multiply
    2,846x = 4,270.68 × 1,202.44
  4. Step 4: Simplify right side
    2,846x = 5,135,236.46
  5. Step 5: Solve for x
    x = 5,135,236.46/2,846
  6. Step 6: Final answer
    x = 1,804.37

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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.