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Finding the Fourth Proportional to 2,422.73, 3,343.23 and 1,427.78

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Solution

The fourth proportional to 2,422.73, 3,343.23 and 1,427.78 is: 1,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.73 : 3,343.23 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    2,422.73/3,343.23 = 1,427.78/x
  3. Step 3: Cross multiply
    2,422.73x = 3,343.23 × 1,427.78
  4. Step 4: Simplify right side
    2,422.73x = 4,773,396.93
  5. Step 5: Solve for x
    x = 4,773,396.93/2,422.73
  6. Step 6: Final answer
    x = 1,970.26

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