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Finding the Fourth Proportional to 1,257.68, 1,874.07 and 1,198.76

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Solution

The fourth proportional to 1,257.68, 1,874.07 and 1,198.76 is: 1,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.68 : 1,874.07 = 1,198.76 : x
  2. Step 2: Convert to fraction form
    1,257.68/1,874.07 = 1,198.76/x
  3. Step 3: Cross multiply
    1,257.68x = 1,874.07 × 1,198.76
  4. Step 4: Simplify right side
    1,257.68x = 2,246,554.16
  5. Step 5: Solve for x
    x = 2,246,554.16/1,257.68
  6. Step 6: Final answer
    x = 1,786.27

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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.