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Finding the Fourth Proportional to 3,448.80, 5,171.45 and 1,693.94

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Solution

The fourth proportional to 3,448.80, 5,171.45 and 1,693.94 is: 2,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.80 : 5,171.45 = 1,693.94 : x
  2. Step 2: Convert to fraction form
    3,448.80/5,171.45 = 1,693.94/x
  3. Step 3: Cross multiply
    3,448.80x = 5,171.45 × 1,693.94
  4. Step 4: Simplify right side
    3,448.80x = 8,760,091.69
  5. Step 5: Solve for x
    x = 8,760,091.69/3,448.80
  6. Step 6: Final answer
    x = 2,540.04

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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.