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Finding the Fourth Proportional to 1,694.45, 2,334.31 and 1,611.07

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Solution

The fourth proportional to 1,694.45, 2,334.31 and 1,611.07 is: 2,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.45 : 2,334.31 = 1,611.07 : x
  2. Step 2: Convert to fraction form
    1,694.45/2,334.31 = 1,611.07/x
  3. Step 3: Cross multiply
    1,694.45x = 2,334.31 × 1,611.07
  4. Step 4: Simplify right side
    1,694.45x = 3,760,726.95
  5. Step 5: Solve for x
    x = 3,760,726.95/1,694.45
  6. Step 6: Final answer
    x = 2,219.43

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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.