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Finding the Fourth Proportional to 3,646.46, 5,469.08 and 1,180.92

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Solution

The fourth proportional to 3,646.46, 5,469.08 and 1,180.92 is: 1,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.46 : 5,469.08 = 1,180.92 : x
  2. Step 2: Convert to fraction form
    3,646.46/5,469.08 = 1,180.92/x
  3. Step 3: Cross multiply
    3,646.46x = 5,469.08 × 1,180.92
  4. Step 4: Simplify right side
    3,646.46x = 6,458,540.05
  5. Step 5: Solve for x
    x = 6,458,540.05/3,646.46
  6. Step 6: Final answer
    x = 1,771.18

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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.