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Finding the Fourth Proportional to 1,982.36, 2,735.01 and 1,319.31

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Solution

The fourth proportional to 1,982.36, 2,735.01 and 1,319.31 is: 1,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.36 : 2,735.01 = 1,319.31 : x
  2. Step 2: Convert to fraction form
    1,982.36/2,735.01 = 1,319.31/x
  3. Step 3: Cross multiply
    1,982.36x = 2,735.01 × 1,319.31
  4. Step 4: Simplify right side
    1,982.36x = 3,608,326.04
  5. Step 5: Solve for x
    x = 3,608,326.04/1,982.36
  6. Step 6: Final answer
    x = 1,820.22

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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.