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Finding the Fourth Proportional to 2,201.94, 3,302.90 and 1,857.48

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Solution

The fourth proportional to 2,201.94, 3,302.90 and 1,857.48 is: 2,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.94 : 3,302.90 = 1,857.48 : x
  2. Step 2: Convert to fraction form
    2,201.94/3,302.90 = 1,857.48/x
  3. Step 3: Cross multiply
    2,201.94x = 3,302.90 × 1,857.48
  4. Step 4: Simplify right side
    2,201.94x = 6,135,070.69
  5. Step 5: Solve for x
    x = 6,135,070.69/2,201.94
  6. Step 6: Final answer
    x = 2,786.21

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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.