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Finding the Fourth Proportional to 6,033.77, 9,049.45 and 1,650.19

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Solution

The fourth proportional to 6,033.77, 9,049.45 and 1,650.19 is: 2,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.77 : 9,049.45 = 1,650.19 : x
  2. Step 2: Convert to fraction form
    6,033.77/9,049.45 = 1,650.19/x
  3. Step 3: Cross multiply
    6,033.77x = 9,049.45 × 1,650.19
  4. Step 4: Simplify right side
    6,033.77x = 14,933,311.90
  5. Step 5: Solve for x
    x = 14,933,311.90/6,033.77
  6. Step 6: Final answer
    x = 2,474.96

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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.