Home / 1,515.13-2,272.44-419.20

Finding the Fourth Proportional to 1,515.13, 2,272.44 and 419.20

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Solution

The fourth proportional to 1,515.13, 2,272.44 and 419.20 is: 628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.13 : 2,272.44 = 419.20 : x
  2. Step 2: Convert to fraction form
    1,515.13/2,272.44 = 419.20/x
  3. Step 3: Cross multiply
    1,515.13x = 2,272.44 × 419.20
  4. Step 4: Simplify right side
    1,515.13x = 952,606.85
  5. Step 5: Solve for x
    x = 952,606.85/1,515.13
  6. Step 6: Final answer
    x = 628.73

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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.