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Finding the Fourth Proportional to 1,351.80, 2,027.28 and 377.94

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Solution

The fourth proportional to 1,351.80, 2,027.28 and 377.94 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.80 : 2,027.28 = 377.94 : x
  2. Step 2: Convert to fraction form
    1,351.80/2,027.28 = 377.94/x
  3. Step 3: Cross multiply
    1,351.80x = 2,027.28 × 377.94
  4. Step 4: Simplify right side
    1,351.80x = 766,190.20
  5. Step 5: Solve for x
    x = 766,190.20/1,351.80
  6. Step 6: Final answer
    x = 566.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.