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Finding the Fourth Proportional to 2,839.26, 4,256.76 and 1,912.22

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Solution

The fourth proportional to 2,839.26, 4,256.76 and 1,912.22 is: 2,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.26 : 4,256.76 = 1,912.22 : x
  2. Step 2: Convert to fraction form
    2,839.26/4,256.76 = 1,912.22/x
  3. Step 3: Cross multiply
    2,839.26x = 4,256.76 × 1,912.22
  4. Step 4: Simplify right side
    2,839.26x = 8,139,840.32
  5. Step 5: Solve for x
    x = 8,139,840.32/2,839.26
  6. Step 6: Final answer
    x = 2,866.89

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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.