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Finding the Fourth Proportional to 2,744.22, 3,786.66 and 1,549.02

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Solution

The fourth proportional to 2,744.22, 3,786.66 and 1,549.02 is: 2,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.22 : 3,786.66 = 1,549.02 : x
  2. Step 2: Convert to fraction form
    2,744.22/3,786.66 = 1,549.02/x
  3. Step 3: Cross multiply
    2,744.22x = 3,786.66 × 1,549.02
  4. Step 4: Simplify right side
    2,744.22x = 5,865,612.07
  5. Step 5: Solve for x
    x = 5,865,612.07/2,744.22
  6. Step 6: Final answer
    x = 2,137.44

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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.