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Finding the Fourth Proportional to 3,208.70, 4,813.36 and 1,128.48

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Solution

The fourth proportional to 3,208.70, 4,813.36 and 1,128.48 is: 1,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.70 : 4,813.36 = 1,128.48 : x
  2. Step 2: Convert to fraction form
    3,208.70/4,813.36 = 1,128.48/x
  3. Step 3: Cross multiply
    3,208.70x = 4,813.36 × 1,128.48
  4. Step 4: Simplify right side
    3,208.70x = 5,431,780.49
  5. Step 5: Solve for x
    x = 5,431,780.49/3,208.70
  6. Step 6: Final answer
    x = 1,692.83

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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.