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Finding the Fourth Proportional to 3,078.96, 4,620.60 and 1,778.64

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Solution

The fourth proportional to 3,078.96, 4,620.60 and 1,778.64 is: 2,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.96 : 4,620.60 = 1,778.64 : x
  2. Step 2: Convert to fraction form
    3,078.96/4,620.60 = 1,778.64/x
  3. Step 3: Cross multiply
    3,078.96x = 4,620.60 × 1,778.64
  4. Step 4: Simplify right side
    3,078.96x = 8,218,383.98
  5. Step 5: Solve for x
    x = 8,218,383.98/3,078.96
  6. Step 6: Final answer
    x = 2,669.21

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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.