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Finding the Fourth Proportional to 2,846.98, 4,270.92 and 1,203.54

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Solution

The fourth proportional to 2,846.98, 4,270.92 and 1,203.54 is: 1,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.98 : 4,270.92 = 1,203.54 : x
  2. Step 2: Convert to fraction form
    2,846.98/4,270.92 = 1,203.54/x
  3. Step 3: Cross multiply
    2,846.98x = 4,270.92 × 1,203.54
  4. Step 4: Simplify right side
    2,846.98x = 5,140,202.53
  5. Step 5: Solve for x
    x = 5,140,202.53/2,846.98
  6. Step 6: Final answer
    x = 1,805.49

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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.