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Finding the Fourth Proportional to 1,984.97, 2,739.26 and 1,199.01

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Solution

The fourth proportional to 1,984.97, 2,739.26 and 1,199.01 is: 1,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.97 : 2,739.26 = 1,199.01 : x
  2. Step 2: Convert to fraction form
    1,984.97/2,739.26 = 1,199.01/x
  3. Step 3: Cross multiply
    1,984.97x = 2,739.26 × 1,199.01
  4. Step 4: Simplify right side
    1,984.97x = 3,284,394.14
  5. Step 5: Solve for x
    x = 3,284,394.14/1,984.97
  6. Step 6: Final answer
    x = 1,654.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.