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Finding the Fourth Proportional to 3,166.95, 4,745.23 and 1,085.83

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Solution

The fourth proportional to 3,166.95, 4,745.23 and 1,085.83 is: 1,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.95 : 4,745.23 = 1,085.83 : x
  2. Step 2: Convert to fraction form
    3,166.95/4,745.23 = 1,085.83/x
  3. Step 3: Cross multiply
    3,166.95x = 4,745.23 × 1,085.83
  4. Step 4: Simplify right side
    3,166.95x = 5,152,517.97
  5. Step 5: Solve for x
    x = 5,152,517.97/3,166.95
  6. Step 6: Final answer
    x = 1,626.97

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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.