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Finding the Fourth Proportional to 1,891.89, 2,611.02 and 1,146.09

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Solution

The fourth proportional to 1,891.89, 2,611.02 and 1,146.09 is: 1,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.89 : 2,611.02 = 1,146.09 : x
  2. Step 2: Convert to fraction form
    1,891.89/2,611.02 = 1,146.09/x
  3. Step 3: Cross multiply
    1,891.89x = 2,611.02 × 1,146.09
  4. Step 4: Simplify right side
    1,891.89x = 2,992,463.91
  5. Step 5: Solve for x
    x = 2,992,463.91/1,891.89
  6. Step 6: Final answer
    x = 1,581.73

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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.