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Finding the Fourth Proportional to 1,892.90, 2,611.46 and 1,396.71

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Solution

The fourth proportional to 1,892.90, 2,611.46 and 1,396.71 is: 1,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.90 : 2,611.46 = 1,396.71 : x
  2. Step 2: Convert to fraction form
    1,892.90/2,611.46 = 1,396.71/x
  3. Step 3: Cross multiply
    1,892.90x = 2,611.46 × 1,396.71
  4. Step 4: Simplify right side
    1,892.90x = 3,647,445.31
  5. Step 5: Solve for x
    x = 3,647,445.31/1,892.90
  6. Step 6: Final answer
    x = 1,926.91

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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.