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Finding the Fourth Proportional to 1,984.97, 2,739.21 and 1,100.72

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Solution

The fourth proportional to 1,984.97, 2,739.21 and 1,100.72 is: 1,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.97 : 2,739.21 = 1,100.72 : x
  2. Step 2: Convert to fraction form
    1,984.97/2,739.21 = 1,100.72/x
  3. Step 3: Cross multiply
    1,984.97x = 2,739.21 × 1,100.72
  4. Step 4: Simplify right side
    1,984.97x = 3,015,103.23
  5. Step 5: Solve for x
    x = 3,015,103.23/1,984.97
  6. Step 6: Final answer
    x = 1,518.97

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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.