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Finding the Fourth Proportional to 2,784.94, 3,843.22 and 1,606.09

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Solution

The fourth proportional to 2,784.94, 3,843.22 and 1,606.09 is: 2,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.94 : 3,843.22 = 1,606.09 : x
  2. Step 2: Convert to fraction form
    2,784.94/3,843.22 = 1,606.09/x
  3. Step 3: Cross multiply
    2,784.94x = 3,843.22 × 1,606.09
  4. Step 4: Simplify right side
    2,784.94x = 6,172,557.21
  5. Step 5: Solve for x
    x = 6,172,557.21/2,784.94
  6. Step 6: Final answer
    x = 2,216.41

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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.