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Finding the Fourth Proportional to 2,843.71, 4,272.35 and 1,857.33

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Solution

The fourth proportional to 2,843.71, 4,272.35 and 1,857.33 is: 2,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.71 : 4,272.35 = 1,857.33 : x
  2. Step 2: Convert to fraction form
    2,843.71/4,272.35 = 1,857.33/x
  3. Step 3: Cross multiply
    2,843.71x = 4,272.35 × 1,857.33
  4. Step 4: Simplify right side
    2,843.71x = 7,935,154.54
  5. Step 5: Solve for x
    x = 7,935,154.54/2,843.71
  6. Step 6: Final answer
    x = 2,790.43

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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.