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Finding the Fourth Proportional to 3,448.49, 5,173.98 and 1,693.31

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Solution

The fourth proportional to 3,448.49, 5,173.98 and 1,693.31 is: 2,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.49 : 5,173.98 = 1,693.31 : x
  2. Step 2: Convert to fraction form
    3,448.49/5,173.98 = 1,693.31/x
  3. Step 3: Cross multiply
    3,448.49x = 5,173.98 × 1,693.31
  4. Step 4: Simplify right side
    3,448.49x = 8,761,152.07
  5. Step 5: Solve for x
    x = 8,761,152.07/3,448.49
  6. Step 6: Final answer
    x = 2,540.58

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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.