Home / 1,982.62-2,735.91-1,086.20

Finding the Fourth Proportional to 1,982.62, 2,735.91 and 1,086.20

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Solution

The fourth proportional to 1,982.62, 2,735.91 and 1,086.20 is: 1,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.62 : 2,735.91 = 1,086.20 : x
  2. Step 2: Convert to fraction form
    1,982.62/2,735.91 = 1,086.20/x
  3. Step 3: Cross multiply
    1,982.62x = 2,735.91 × 1,086.20
  4. Step 4: Simplify right side
    1,982.62x = 2,971,741.23
  5. Step 5: Solve for x
    x = 2,971,741.23/1,982.62
  6. Step 6: Final answer
    x = 1,498.89

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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.