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Finding the Fourth Proportional to 3,448.61, 5,174.17 and 1,693.43

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Solution

The fourth proportional to 3,448.61, 5,174.17 and 1,693.43 is: 2,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.61 : 5,174.17 = 1,693.43 : x
  2. Step 2: Convert to fraction form
    3,448.61/5,174.17 = 1,693.43/x
  3. Step 3: Cross multiply
    3,448.61x = 5,174.17 × 1,693.43
  4. Step 4: Simplify right side
    3,448.61x = 8,762,084.00
  5. Step 5: Solve for x
    x = 8,762,084.00/3,448.61
  6. Step 6: Final answer
    x = 2,540.76

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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.