Home / 1,581.40-2,372.21-486.53

Finding the Fourth Proportional to 1,581.40, 2,372.21 and 486.53

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Solution

The fourth proportional to 1,581.40, 2,372.21 and 486.53 is: 729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.40 : 2,372.21 = 486.53 : x
  2. Step 2: Convert to fraction form
    1,581.40/2,372.21 = 486.53/x
  3. Step 3: Cross multiply
    1,581.40x = 2,372.21 × 486.53
  4. Step 4: Simplify right side
    1,581.40x = 1,154,151.33
  5. Step 5: Solve for x
    x = 1,154,151.33/1,581.40
  6. Step 6: Final answer
    x = 729.83

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Why These Related Problems?

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