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Finding the Fourth Proportional to 2,104.05, 3,149.19 and 1,548.60

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Solution

The fourth proportional to 2,104.05, 3,149.19 and 1,548.60 is: 2,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.05 : 3,149.19 = 1,548.60 : x
  2. Step 2: Convert to fraction form
    2,104.05/3,149.19 = 1,548.60/x
  3. Step 3: Cross multiply
    2,104.05x = 3,149.19 × 1,548.60
  4. Step 4: Simplify right side
    2,104.05x = 4,876,847.44
  5. Step 5: Solve for x
    x = 4,876,847.44/2,104.05
  6. Step 6: Final answer
    x = 2,317.84

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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.