Home / 1,581.24-2,371.97-486.37

Finding the Fourth Proportional to 1,581.24, 2,371.97 and 486.37

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Solution

The fourth proportional to 1,581.24, 2,371.97 and 486.37 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.24 : 2,371.97 = 486.37 : x
  2. Step 2: Convert to fraction form
    1,581.24/2,371.97 = 486.37/x
  3. Step 3: Cross multiply
    1,581.24x = 2,371.97 × 486.37
  4. Step 4: Simplify right side
    1,581.24x = 1,153,655.05
  5. Step 5: Solve for x
    x = 1,153,655.05/1,581.24
  6. Step 6: Final answer
    x = 729.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.