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Finding the Fourth Proportional to 2,912.26, 4,367.98 and 938.09

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Solution

The fourth proportional to 2,912.26, 4,367.98 and 938.09 is: 1,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.26 : 4,367.98 = 938.09 : x
  2. Step 2: Convert to fraction form
    2,912.26/4,367.98 = 938.09/x
  3. Step 3: Cross multiply
    2,912.26x = 4,367.98 × 938.09
  4. Step 4: Simplify right side
    2,912.26x = 4,097,531.83
  5. Step 5: Solve for x
    x = 4,097,531.83/2,912.26
  6. Step 6: Final answer
    x = 1,407.00

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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.