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Finding the Fourth Proportional to 2,608.47, 3,912.30 and 853.47

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Solution

The fourth proportional to 2,608.47, 3,912.30 and 853.47 is: 1,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.47 : 3,912.30 = 853.47 : x
  2. Step 2: Convert to fraction form
    2,608.47/3,912.30 = 853.47/x
  3. Step 3: Cross multiply
    2,608.47x = 3,912.30 × 853.47
  4. Step 4: Simplify right side
    2,608.47x = 3,339,030.68
  5. Step 5: Solve for x
    x = 3,339,030.68/2,608.47
  6. Step 6: Final answer
    x = 1,280.07

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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.