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Finding the Fourth Proportional to 2,563.23, 3,846.67 and 920.02

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Solution

The fourth proportional to 2,563.23, 3,846.67 and 920.02 is: 1,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.23 : 3,846.67 = 920.02 : x
  2. Step 2: Convert to fraction form
    2,563.23/3,846.67 = 920.02/x
  3. Step 3: Cross multiply
    2,563.23x = 3,846.67 × 920.02
  4. Step 4: Simplify right side
    2,563.23x = 3,539,013.33
  5. Step 5: Solve for x
    x = 3,539,013.33/2,563.23
  6. Step 6: Final answer
    x = 1,380.69

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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.