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Finding the Fourth Proportional to 3,076.80, 4,245.84 and 1,679.28

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Solution

The fourth proportional to 3,076.80, 4,245.84 and 1,679.28 is: 2,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.80 : 4,245.84 = 1,679.28 : x
  2. Step 2: Convert to fraction form
    3,076.80/4,245.84 = 1,679.28/x
  3. Step 3: Cross multiply
    3,076.80x = 4,245.84 × 1,679.28
  4. Step 4: Simplify right side
    3,076.80x = 7,129,954.20
  5. Step 5: Solve for x
    x = 7,129,954.20/3,076.80
  6. Step 6: Final answer
    x = 2,317.33

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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.