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Finding the Fourth Proportional to 1,342.54, 2,021.26 and 1,227.74

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Solution

The fourth proportional to 1,342.54, 2,021.26 and 1,227.74 is: 1,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.54 : 2,021.26 = 1,227.74 : x
  2. Step 2: Convert to fraction form
    1,342.54/2,021.26 = 1,227.74/x
  3. Step 3: Cross multiply
    1,342.54x = 2,021.26 × 1,227.74
  4. Step 4: Simplify right side
    1,342.54x = 2,481,581.75
  5. Step 5: Solve for x
    x = 2,481,581.75/1,342.54
  6. Step 6: Final answer
    x = 1,848.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.