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Finding the Fourth Proportional to 1,351.89, 2,027.84 and 378

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Solution

The fourth proportional to 1,351.89, 2,027.84 and 378 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.89 : 2,027.84 = 378 : x
  2. Step 2: Convert to fraction form
    1,351.89/2,027.84 = 378/x
  3. Step 3: Cross multiply
    1,351.89x = 2,027.84 × 378
  4. Step 4: Simplify right side
    1,351.89x = 766,523.52
  5. Step 5: Solve for x
    x = 766,523.52/1,351.89
  6. Step 6: Final answer
    x = 567.00

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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.