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Finding the Fourth Proportional to 3,451.95, 5,179.82 and 1,603.94

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Solution

The fourth proportional to 3,451.95, 5,179.82 and 1,603.94 is: 2,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.95 : 5,179.82 = 1,603.94 : x
  2. Step 2: Convert to fraction form
    3,451.95/5,179.82 = 1,603.94/x
  3. Step 3: Cross multiply
    3,451.95x = 5,179.82 × 1,603.94
  4. Step 4: Simplify right side
    3,451.95x = 8,308,086.57
  5. Step 5: Solve for x
    x = 8,308,086.57/3,451.95
  6. Step 6: Final answer
    x = 2,406.78

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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.