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Finding the Fourth Proportional to 3,205.78, 4,803.71 and 2,162.09

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Solution

The fourth proportional to 3,205.78, 4,803.71 and 2,162.09 is: 3,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.78 : 4,803.71 = 2,162.09 : x
  2. Step 2: Convert to fraction form
    3,205.78/4,803.71 = 2,162.09/x
  3. Step 3: Cross multiply
    3,205.78x = 4,803.71 × 2,162.09
  4. Step 4: Simplify right side
    3,205.78x = 10,386,054.55
  5. Step 5: Solve for x
    x = 10,386,054.55/3,205.78
  6. Step 6: Final answer
    x = 3,239.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.