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Finding the Fourth Proportional to 3,078.22, 4,616.79 and 998.14

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Solution

The fourth proportional to 3,078.22, 4,616.79 and 998.14 is: 1,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.22 : 4,616.79 = 998.14 : x
  2. Step 2: Convert to fraction form
    3,078.22/4,616.79 = 998.14/x
  3. Step 3: Cross multiply
    3,078.22x = 4,616.79 × 998.14
  4. Step 4: Simplify right side
    3,078.22x = 4,608,202.77
  5. Step 5: Solve for x
    x = 4,608,202.77/3,078.22
  6. Step 6: Final answer
    x = 1,497.03

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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.