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Finding the Fourth Proportional to 1,912.98, 2,641.22 and 1,284.46

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Solution

The fourth proportional to 1,912.98, 2,641.22 and 1,284.46 is: 1,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.98 : 2,641.22 = 1,284.46 : x
  2. Step 2: Convert to fraction form
    1,912.98/2,641.22 = 1,284.46/x
  3. Step 3: Cross multiply
    1,912.98x = 2,641.22 × 1,284.46
  4. Step 4: Simplify right side
    1,912.98x = 3,392,541.44
  5. Step 5: Solve for x
    x = 3,392,541.44/1,912.98
  6. Step 6: Final answer
    x = 1,773.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.