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Finding the Fourth Proportional to 1,651.80, 2,474.98 and 1,163.84

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Solution

The fourth proportional to 1,651.80, 2,474.98 and 1,163.84 is: 1,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.80 : 2,474.98 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    1,651.80/2,474.98 = 1,163.84/x
  3. Step 3: Cross multiply
    1,651.80x = 2,474.98 × 1,163.84
  4. Step 4: Simplify right side
    1,651.80x = 2,880,480.72
  5. Step 5: Solve for x
    x = 2,880,480.72/1,651.80
  6. Step 6: Final answer
    x = 1,743.84

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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.