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Finding the Fourth Proportional to 3,188.90, 4,780.61 and 1,213.41

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Solution

The fourth proportional to 3,188.90, 4,780.61 and 1,213.41 is: 1,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.90 : 4,780.61 = 1,213.41 : x
  2. Step 2: Convert to fraction form
    3,188.90/4,780.61 = 1,213.41/x
  3. Step 3: Cross multiply
    3,188.90x = 4,780.61 × 1,213.41
  4. Step 4: Simplify right side
    3,188.90x = 5,800,833.91
  5. Step 5: Solve for x
    x = 5,800,833.91/3,188.90
  6. Step 6: Final answer
    x = 1,819.07

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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.