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Finding the Fourth Proportional to 2,735.57, 3,771.36 and 1,989.56

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Solution

The fourth proportional to 2,735.57, 3,771.36 and 1,989.56 is: 2,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.57 : 3,771.36 = 1,989.56 : x
  2. Step 2: Convert to fraction form
    2,735.57/3,771.36 = 1,989.56/x
  3. Step 3: Cross multiply
    2,735.57x = 3,771.36 × 1,989.56
  4. Step 4: Simplify right side
    2,735.57x = 7,503,356.43
  5. Step 5: Solve for x
    x = 7,503,356.43/2,735.57
  6. Step 6: Final answer
    x = 2,742.88

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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.