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Finding the Fourth Proportional to 1,427.72, 1,966.02 and 1,194.44

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Solution

The fourth proportional to 1,427.72, 1,966.02 and 1,194.44 is: 1,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.72 : 1,966.02 = 1,194.44 : x
  2. Step 2: Convert to fraction form
    1,427.72/1,966.02 = 1,194.44/x
  3. Step 3: Cross multiply
    1,427.72x = 1,966.02 × 1,194.44
  4. Step 4: Simplify right side
    1,427.72x = 2,348,292.93
  5. Step 5: Solve for x
    x = 2,348,292.93/1,427.72
  6. Step 6: Final answer
    x = 1,644.79

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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.