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Finding the Fourth Proportional to 3,187.28, 4,783.80 and 2,162

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Solution

The fourth proportional to 3,187.28, 4,783.80 and 2,162 is: 3,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.28 : 4,783.80 = 2,162 : x
  2. Step 2: Convert to fraction form
    3,187.28/4,783.80 = 2,162/x
  3. Step 3: Cross multiply
    3,187.28x = 4,783.80 × 2,162
  4. Step 4: Simplify right side
    3,187.28x = 10,342,575.60
  5. Step 5: Solve for x
    x = 10,342,575.60/3,187.28
  6. Step 6: Final answer
    x = 3,244.95

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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.