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Finding the Fourth Proportional to 1,514.70, 2,272.37 and 541.44

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Solution

The fourth proportional to 1,514.70, 2,272.37 and 541.44 is: 812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.70 : 2,272.37 = 541.44 : x
  2. Step 2: Convert to fraction form
    1,514.70/2,272.37 = 541.44/x
  3. Step 3: Cross multiply
    1,514.70x = 2,272.37 × 541.44
  4. Step 4: Simplify right side
    1,514.70x = 1,230,349.31
  5. Step 5: Solve for x
    x = 1,230,349.31/1,514.70
  6. Step 6: Final answer
    x = 812.27

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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.