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Finding the Fourth Proportional to 1,351.38, 2,027.08 and 377.49

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Solution

The fourth proportional to 1,351.38, 2,027.08 and 377.49 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.38 : 2,027.08 = 377.49 : x
  2. Step 2: Convert to fraction form
    1,351.38/2,027.08 = 377.49/x
  3. Step 3: Cross multiply
    1,351.38x = 2,027.08 × 377.49
  4. Step 4: Simplify right side
    1,351.38x = 765,191.28
  5. Step 5: Solve for x
    x = 765,191.28/1,351.38
  6. Step 6: Final answer
    x = 566.23

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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.