Home / 1,514.72-2,272.13-419.09

Finding the Fourth Proportional to 1,514.72, 2,272.13 and 419.09

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Solution

The fourth proportional to 1,514.72, 2,272.13 and 419.09 is: 628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.72 : 2,272.13 = 419.09 : x
  2. Step 2: Convert to fraction form
    1,514.72/2,272.13 = 419.09/x
  3. Step 3: Cross multiply
    1,514.72x = 2,272.13 × 419.09
  4. Step 4: Simplify right side
    1,514.72x = 952,213.51
  5. Step 5: Solve for x
    x = 952,213.51/1,514.72
  6. Step 6: Final answer
    x = 628.64

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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.