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Finding the Fourth Proportional to 2,107.67, 2,908.46 and 1,163.46

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Solution

The fourth proportional to 2,107.67, 2,908.46 and 1,163.46 is: 1,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.67 : 2,908.46 = 1,163.46 : x
  2. Step 2: Convert to fraction form
    2,107.67/2,908.46 = 1,163.46/x
  3. Step 3: Cross multiply
    2,107.67x = 2,908.46 × 1,163.46
  4. Step 4: Simplify right side
    2,107.67x = 3,383,871.05
  5. Step 5: Solve for x
    x = 3,383,871.05/2,107.67
  6. Step 6: Final answer
    x = 1,605.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.