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Finding the Fourth Proportional to 2,162.13, 3,243.86 and 775.43

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Solution

The fourth proportional to 2,162.13, 3,243.86 and 775.43 is: 1,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.13 : 3,243.86 = 775.43 : x
  2. Step 2: Convert to fraction form
    2,162.13/3,243.86 = 775.43/x
  3. Step 3: Cross multiply
    2,162.13x = 3,243.86 × 775.43
  4. Step 4: Simplify right side
    2,162.13x = 2,515,386.36
  5. Step 5: Solve for x
    x = 2,515,386.36/2,162.13
  6. Step 6: Final answer
    x = 1,163.38

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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.