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Finding the Fourth Proportional to 2,051.61, 3,078.63 and 819.60

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Solution

The fourth proportional to 2,051.61, 3,078.63 and 819.60 is: 1,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.61 : 3,078.63 = 819.60 : x
  2. Step 2: Convert to fraction form
    2,051.61/3,078.63 = 819.60/x
  3. Step 3: Cross multiply
    2,051.61x = 3,078.63 × 819.60
  4. Step 4: Simplify right side
    2,051.61x = 2,523,245.15
  5. Step 5: Solve for x
    x = 2,523,245.15/2,051.61
  6. Step 6: Final answer
    x = 1,229.89

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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.