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Finding the Fourth Proportional to 1,394.00, 1,921.22 and 1,144.52

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Solution

The fourth proportional to 1,394.00, 1,921.22 and 1,144.52 is: 1,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.00 : 1,921.22 = 1,144.52 : x
  2. Step 2: Convert to fraction form
    1,394.00/1,921.22 = 1,144.52/x
  3. Step 3: Cross multiply
    1,394.00x = 1,921.22 × 1,144.52
  4. Step 4: Simplify right side
    1,394.00x = 2,198,859.39
  5. Step 5: Solve for x
    x = 2,198,859.39/1,394.00
  6. Step 6: Final answer
    x = 1,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.