Home / 1,984.32-2,738.10-1,100.10

Finding the Fourth Proportional to 1,984.32, 2,738.10 and 1,100.10

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Solution

The fourth proportional to 1,984.32, 2,738.10 and 1,100.10 is: 1,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.32 : 2,738.10 = 1,100.10 : x
  2. Step 2: Convert to fraction form
    1,984.32/2,738.10 = 1,100.10/x
  3. Step 3: Cross multiply
    1,984.32x = 2,738.10 × 1,100.10
  4. Step 4: Simplify right side
    1,984.32x = 3,012,183.81
  5. Step 5: Solve for x
    x = 3,012,183.81/1,984.32
  6. Step 6: Final answer
    x = 1,517.99

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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.