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Finding the Fourth Proportional to 3,200.69, 4,801.52 and 892.37

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Solution

The fourth proportional to 3,200.69, 4,801.52 and 892.37 is: 1,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.69 : 4,801.52 = 892.37 : x
  2. Step 2: Convert to fraction form
    3,200.69/4,801.52 = 892.37/x
  3. Step 3: Cross multiply
    3,200.69x = 4,801.52 × 892.37
  4. Step 4: Simplify right side
    3,200.69x = 4,284,727.94
  5. Step 5: Solve for x
    x = 4,284,727.94/3,200.69
  6. Step 6: Final answer
    x = 1,338.69

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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.