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Finding the Fourth Proportional to 1,984.62, 2,738.84 and 1,100.49

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Solution

The fourth proportional to 1,984.62, 2,738.84 and 1,100.49 is: 1,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.62 : 2,738.84 = 1,100.49 : x
  2. Step 2: Convert to fraction form
    1,984.62/2,738.84 = 1,100.49/x
  3. Step 3: Cross multiply
    1,984.62x = 2,738.84 × 1,100.49
  4. Step 4: Simplify right side
    1,984.62x = 3,014,066.03
  5. Step 5: Solve for x
    x = 3,014,066.03/1,984.62
  6. Step 6: Final answer
    x = 1,518.71

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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.