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Finding the Fourth Proportional to 2,843.81, 4,262.23 and 1,283.38

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Solution

The fourth proportional to 2,843.81, 4,262.23 and 1,283.38 is: 1,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.81 : 4,262.23 = 1,283.38 : x
  2. Step 2: Convert to fraction form
    2,843.81/4,262.23 = 1,283.38/x
  3. Step 3: Cross multiply
    2,843.81x = 4,262.23 × 1,283.38
  4. Step 4: Simplify right side
    2,843.81x = 5,470,044.47
  5. Step 5: Solve for x
    x = 5,470,044.47/2,843.81
  6. Step 6: Final answer
    x = 1,923.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.