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Finding the Fourth Proportional to 2,727.25, 4,090.06 and 996.01

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Solution

The fourth proportional to 2,727.25, 4,090.06 and 996.01 is: 1,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.25 : 4,090.06 = 996.01 : x
  2. Step 2: Convert to fraction form
    2,727.25/4,090.06 = 996.01/x
  3. Step 3: Cross multiply
    2,727.25x = 4,090.06 × 996.01
  4. Step 4: Simplify right side
    2,727.25x = 4,073,740.66
  5. Step 5: Solve for x
    x = 4,073,740.66/2,727.25
  6. Step 6: Final answer
    x = 1,493.72

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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.