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Finding the Fourth Proportional to 2,863.98, 4,291.89 and 1,694.22

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Solution

The fourth proportional to 2,863.98, 4,291.89 and 1,694.22 is: 2,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.98 : 4,291.89 = 1,694.22 : x
  2. Step 2: Convert to fraction form
    2,863.98/4,291.89 = 1,694.22/x
  3. Step 3: Cross multiply
    2,863.98x = 4,291.89 × 1,694.22
  4. Step 4: Simplify right side
    2,863.98x = 7,271,405.88
  5. Step 5: Solve for x
    x = 7,271,405.88/2,863.98
  6. Step 6: Final answer
    x = 2,538.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.