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Finding the Fourth Proportional to 3,159.94, 4,739.89 and 819.94

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Solution

The fourth proportional to 3,159.94, 4,739.89 and 819.94 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.94 : 4,739.89 = 819.94 : x
  2. Step 2: Convert to fraction form
    3,159.94/4,739.89 = 819.94/x
  3. Step 3: Cross multiply
    3,159.94x = 4,739.89 × 819.94
  4. Step 4: Simplify right side
    3,159.94x = 3,886,426.38
  5. Step 5: Solve for x
    x = 3,886,426.38/3,159.94
  6. Step 6: Final answer
    x = 1,229.91

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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.