Home / 1,581.23-2,183.56-1,022.67

Finding the Fourth Proportional to 1,581.23, 2,183.56 and 1,022.67

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Solution

The fourth proportional to 1,581.23, 2,183.56 and 1,022.67 is: 1,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.23 : 2,183.56 = 1,022.67 : x
  2. Step 2: Convert to fraction form
    1,581.23/2,183.56 = 1,022.67/x
  3. Step 3: Cross multiply
    1,581.23x = 2,183.56 × 1,022.67
  4. Step 4: Simplify right side
    1,581.23x = 2,233,058.75
  5. Step 5: Solve for x
    x = 2,233,058.75/1,581.23
  6. Step 6: Final answer
    x = 1,412.23

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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.