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Finding the Fourth Proportional to 2,846.22, 4,269.42 and 996.90

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Solution

The fourth proportional to 2,846.22, 4,269.42 and 996.90 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.22 : 4,269.42 = 996.90 : x
  2. Step 2: Convert to fraction form
    2,846.22/4,269.42 = 996.90/x
  3. Step 3: Cross multiply
    2,846.22x = 4,269.42 × 996.90
  4. Step 4: Simplify right side
    2,846.22x = 4,256,184.80
  5. Step 5: Solve for x
    x = 4,256,184.80/2,846.22
  6. Step 6: Final answer
    x = 1,495.38

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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.