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Finding the Fourth Proportional to 3,191.92, 4,783.72 and 1,630.61

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Solution

The fourth proportional to 3,191.92, 4,783.72 and 1,630.61 is: 2,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.92 : 4,783.72 = 1,630.61 : x
  2. Step 2: Convert to fraction form
    3,191.92/4,783.72 = 1,630.61/x
  3. Step 3: Cross multiply
    3,191.92x = 4,783.72 × 1,630.61
  4. Step 4: Simplify right side
    3,191.92x = 7,800,349.60
  5. Step 5: Solve for x
    x = 7,800,349.60/3,191.92
  6. Step 6: Final answer
    x = 2,443.78

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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.