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Finding the Fourth Proportional to 1,478.73, 2,027.43 and 1,452.42

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Solution

The fourth proportional to 1,478.73, 2,027.43 and 1,452.42 is: 1,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.73 : 2,027.43 = 1,452.42 : x
  2. Step 2: Convert to fraction form
    1,478.73/2,027.43 = 1,452.42/x
  3. Step 3: Cross multiply
    1,478.73x = 2,027.43 × 1,452.42
  4. Step 4: Simplify right side
    1,478.73x = 2,944,679.88
  5. Step 5: Solve for x
    x = 2,944,679.88/1,478.73
  6. Step 6: Final answer
    x = 1,991.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.