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Finding the Fourth Proportional to 1,351.56, 2,027.37 and 377.64

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Solution

The fourth proportional to 1,351.56, 2,027.37 and 377.64 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.56 : 2,027.37 = 377.64 : x
  2. Step 2: Convert to fraction form
    1,351.56/2,027.37 = 377.64/x
  3. Step 3: Cross multiply
    1,351.56x = 2,027.37 × 377.64
  4. Step 4: Simplify right side
    1,351.56x = 765,616.01
  5. Step 5: Solve for x
    x = 765,616.01/1,351.56
  6. Step 6: Final answer
    x = 566.47

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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.