Home / 1,987.96-2,743.38-1,103.76

Finding the Fourth Proportional to 1,987.96, 2,743.38 and 1,103.76

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Solution

The fourth proportional to 1,987.96, 2,743.38 and 1,103.76 is: 1,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.96 : 2,743.38 = 1,103.76 : x
  2. Step 2: Convert to fraction form
    1,987.96/2,743.38 = 1,103.76/x
  3. Step 3: Cross multiply
    1,987.96x = 2,743.38 × 1,103.76
  4. Step 4: Simplify right side
    1,987.96x = 3,028,033.11
  5. Step 5: Solve for x
    x = 3,028,033.11/1,987.96
  6. Step 6: Final answer
    x = 1,523.19

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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.