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Finding the Fourth Proportional to 3,078.09, 4,617.17 and 998.08

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Solution

The fourth proportional to 3,078.09, 4,617.17 and 998.08 is: 1,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.09 : 4,617.17 = 998.08 : x
  2. Step 2: Convert to fraction form
    3,078.09/4,617.17 = 998.08/x
  3. Step 3: Cross multiply
    3,078.09x = 4,617.17 × 998.08
  4. Step 4: Simplify right side
    3,078.09x = 4,608,276.96
  5. Step 5: Solve for x
    x = 4,608,276.96/3,078.09
  6. Step 6: Final answer
    x = 1,497.12

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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.