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Finding the Fourth Proportional to 1,984.82, 2,738.99 and 1,100.57

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Solution

The fourth proportional to 1,984.82, 2,738.99 and 1,100.57 is: 1,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.82 : 2,738.99 = 1,100.57 : x
  2. Step 2: Convert to fraction form
    1,984.82/2,738.99 = 1,100.57/x
  3. Step 3: Cross multiply
    1,984.82x = 2,738.99 × 1,100.57
  4. Step 4: Simplify right side
    1,984.82x = 3,014,431.03
  5. Step 5: Solve for x
    x = 3,014,431.03/1,984.82
  6. Step 6: Final answer
    x = 1,518.75

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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.