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Finding the Fourth Proportional to 1,891.81, 2,611.34 and 1,294.66

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Solution

The fourth proportional to 1,891.81, 2,611.34 and 1,294.66 is: 1,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.81 : 2,611.34 = 1,294.66 : x
  2. Step 2: Convert to fraction form
    1,891.81/2,611.34 = 1,294.66/x
  3. Step 3: Cross multiply
    1,891.81x = 2,611.34 × 1,294.66
  4. Step 4: Simplify right side
    1,891.81x = 3,380,797.44
  5. Step 5: Solve for x
    x = 3,380,797.44/1,891.81
  6. Step 6: Final answer
    x = 1,787.07

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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.