Home / 1,982.12-2,735.50-1,098.09

Finding the Fourth Proportional to 1,982.12, 2,735.50 and 1,098.09

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Solution

The fourth proportional to 1,982.12, 2,735.50 and 1,098.09 is: 1,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.12 : 2,735.50 = 1,098.09 : x
  2. Step 2: Convert to fraction form
    1,982.12/2,735.50 = 1,098.09/x
  3. Step 3: Cross multiply
    1,982.12x = 2,735.50 × 1,098.09
  4. Step 4: Simplify right side
    1,982.12x = 3,003,825.20
  5. Step 5: Solve for x
    x = 3,003,825.20/1,982.12
  6. Step 6: Final answer
    x = 1,515.46

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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.