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Finding the Fourth Proportional to 3,109.80, 4,291.41 and 1,693.44

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Solution

The fourth proportional to 3,109.80, 4,291.41 and 1,693.44 is: 2,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.80 : 4,291.41 = 1,693.44 : x
  2. Step 2: Convert to fraction form
    3,109.80/4,291.41 = 1,693.44/x
  3. Step 3: Cross multiply
    3,109.80x = 4,291.41 × 1,693.44
  4. Step 4: Simplify right side
    3,109.80x = 7,267,237.41
  5. Step 5: Solve for x
    x = 7,267,237.41/3,109.80
  6. Step 6: Final answer
    x = 2,336.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.