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Finding the Fourth Proportional to 2,843.71, 3,922.86 and 1,899.20

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Solution

The fourth proportional to 2,843.71, 3,922.86 and 1,899.20 is: 2,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 3,922.86 = 1,899.20 : x
  2. Step 2: Convert to fraction form
    2,843.71/3,922.86 = 1,899.20/x
  3. Step 3: Cross multiply
    2,843.71x = 3,922.86 × 1,899.20
  4. Step 4: Simplify right side
    2,843.71x = 7,450,274.55
  5. Step 5: Solve for x
    x = 7,450,274.55/2,843.71
  6. Step 6: Final answer
    x = 2,619.92

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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.