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Finding the Fourth Proportional to 2,846.22, 4,268.49 and 996.99

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Solution

The fourth proportional to 2,846.22, 4,268.49 and 996.99 is: 1,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.22 : 4,268.49 = 996.99 : x
  2. Step 2: Convert to fraction form
    2,846.22/4,268.49 = 996.99/x
  3. Step 3: Cross multiply
    2,846.22x = 4,268.49 × 996.99
  4. Step 4: Simplify right side
    2,846.22x = 4,255,641.85
  5. Step 5: Solve for x
    x = 4,255,641.85/2,846.22
  6. Step 6: Final answer
    x = 1,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.