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Finding the Fourth Proportional to 2,727.42, 4,091.72 and 996

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Solution

The fourth proportional to 2,727.42, 4,091.72 and 996 is: 1,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.42 : 4,091.72 = 996 : x
  2. Step 2: Convert to fraction form
    2,727.42/4,091.72 = 996/x
  3. Step 3: Cross multiply
    2,727.42x = 4,091.72 × 996
  4. Step 4: Simplify right side
    2,727.42x = 4,075,348.14
  5. Step 5: Solve for x
    x = 4,075,348.14/2,727.42
  6. Step 6: Final answer
    x = 1,494.21

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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.