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Finding the Fourth Proportional to 2,262.75, 3,122.42 and 1,267.83

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Solution

The fourth proportional to 2,262.75, 3,122.42 and 1,267.83 is: 1,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.75 : 3,122.42 = 1,267.83 : x
  2. Step 2: Convert to fraction form
    2,262.75/3,122.42 = 1,267.83/x
  3. Step 3: Cross multiply
    2,262.75x = 3,122.42 × 1,267.83
  4. Step 4: Simplify right side
    2,262.75x = 3,958,710.41
  5. Step 5: Solve for x
    x = 3,958,710.41/2,262.75
  6. Step 6: Final answer
    x = 1,749.51

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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.