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Finding the Fourth Proportional to 2,163.68, 3,245.51 and 603.68

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Solution

The fourth proportional to 2,163.68, 3,245.51 and 603.68 is: 905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.68 : 3,245.51 = 603.68 : x
  2. Step 2: Convert to fraction form
    2,163.68/3,245.51 = 603.68/x
  3. Step 3: Cross multiply
    2,163.68x = 3,245.51 × 603.68
  4. Step 4: Simplify right side
    2,163.68x = 1,959,230.23
  5. Step 5: Solve for x
    x = 1,959,230.23/2,163.68
  6. Step 6: Final answer
    x = 905.51

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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.