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Finding the Fourth Proportional to 1,257.96, 1,872.65 and 1,198.27

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Solution

The fourth proportional to 1,257.96, 1,872.65 and 1,198.27 is: 1,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.96 : 1,872.65 = 1,198.27 : x
  2. Step 2: Convert to fraction form
    1,257.96/1,872.65 = 1,198.27/x
  3. Step 3: Cross multiply
    1,257.96x = 1,872.65 × 1,198.27
  4. Step 4: Simplify right side
    1,257.96x = 2,243,940.32
  5. Step 5: Solve for x
    x = 2,243,940.32/1,257.96
  6. Step 6: Final answer
    x = 1,783.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.