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Finding the Fourth Proportional to 2,254.10, 3,381.14 and 1,891.22

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Solution

The fourth proportional to 2,254.10, 3,381.14 and 1,891.22 is: 2,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.10 : 3,381.14 = 1,891.22 : x
  2. Step 2: Convert to fraction form
    2,254.10/3,381.14 = 1,891.22/x
  3. Step 3: Cross multiply
    2,254.10x = 3,381.14 × 1,891.22
  4. Step 4: Simplify right side
    2,254.10x = 6,394,467.41
  5. Step 5: Solve for x
    x = 6,394,467.41/2,254.10
  6. Step 6: Final answer
    x = 2,836.82

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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.