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Finding the Fourth Proportional to 2,891.01, 3,986.58 and 2,146.44

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Solution

The fourth proportional to 2,891.01, 3,986.58 and 2,146.44 is: 2,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.01 : 3,986.58 = 2,146.44 : x
  2. Step 2: Convert to fraction form
    2,891.01/3,986.58 = 2,146.44/x
  3. Step 3: Cross multiply
    2,891.01x = 3,986.58 × 2,146.44
  4. Step 4: Simplify right side
    2,891.01x = 8,556,954.78
  5. Step 5: Solve for x
    x = 8,556,954.78/2,891.01
  6. Step 6: Final answer
    x = 2,959.85

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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.