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Finding the Fourth Proportional to 3,072.80, 4,608.96 and 1,428.96

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Solution

The fourth proportional to 3,072.80, 4,608.96 and 1,428.96 is: 2,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.80 : 4,608.96 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    3,072.80/4,608.96 = 1,428.96/x
  3. Step 3: Cross multiply
    3,072.80x = 4,608.96 × 1,428.96
  4. Step 4: Simplify right side
    3,072.80x = 6,586,019.48
  5. Step 5: Solve for x
    x = 6,586,019.48/3,072.80
  6. Step 6: Final answer
    x = 2,143.33

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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.