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Finding the Fourth Proportional to 2,153.00, 3,226.49 and 1,163.68

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Solution

The fourth proportional to 2,153.00, 3,226.49 and 1,163.68 is: 1,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.00 : 3,226.49 = 1,163.68 : x
  2. Step 2: Convert to fraction form
    2,153.00/3,226.49 = 1,163.68/x
  3. Step 3: Cross multiply
    2,153.00x = 3,226.49 × 1,163.68
  4. Step 4: Simplify right side
    2,153.00x = 3,754,610.88
  5. Step 5: Solve for x
    x = 3,754,610.88/2,153.00
  6. Step 6: Final answer
    x = 1,743.90

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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.