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Finding the Fourth Proportional to 2,840.73, 4,262.46 and 1,281.84

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Solution

The fourth proportional to 2,840.73, 4,262.46 and 1,281.84 is: 1,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.73 : 4,262.46 = 1,281.84 : x
  2. Step 2: Convert to fraction form
    2,840.73/4,262.46 = 1,281.84/x
  3. Step 3: Cross multiply
    2,840.73x = 4,262.46 × 1,281.84
  4. Step 4: Simplify right side
    2,840.73x = 5,463,791.73
  5. Step 5: Solve for x
    x = 5,463,791.73/2,840.73
  6. Step 6: Final answer
    x = 1,923.38

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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.