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Finding the Fourth Proportional to 3,554.70, 4,905.49 and 1,982.80

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Solution

The fourth proportional to 3,554.70, 4,905.49 and 1,982.80 is: 2,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.70 : 4,905.49 = 1,982.80 : x
  2. Step 2: Convert to fraction form
    3,554.70/4,905.49 = 1,982.80/x
  3. Step 3: Cross multiply
    3,554.70x = 4,905.49 × 1,982.80
  4. Step 4: Simplify right side
    3,554.70x = 9,726,605.57
  5. Step 5: Solve for x
    x = 9,726,605.57/3,554.70
  6. Step 6: Final answer
    x = 2,736.27

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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.