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Finding the Fourth Proportional to 1,790.21, 2,684.46 and 664.11

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Solution

The fourth proportional to 1,790.21, 2,684.46 and 664.11 is: 995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.21 : 2,684.46 = 664.11 : x
  2. Step 2: Convert to fraction form
    1,790.21/2,684.46 = 664.11/x
  3. Step 3: Cross multiply
    1,790.21x = 2,684.46 × 664.11
  4. Step 4: Simplify right side
    1,790.21x = 1,782,776.73
  5. Step 5: Solve for x
    x = 1,782,776.73/1,790.21
  6. Step 6: Final answer
    x = 995.85

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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.