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Finding the Fourth Proportional to 2,786.76, 3,845.54 and 1,606.92

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Solution

The fourth proportional to 2,786.76, 3,845.54 and 1,606.92 is: 2,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.76 : 3,845.54 = 1,606.92 : x
  2. Step 2: Convert to fraction form
    2,786.76/3,845.54 = 1,606.92/x
  3. Step 3: Cross multiply
    2,786.76x = 3,845.54 × 1,606.92
  4. Step 4: Simplify right side
    2,786.76x = 6,179,475.14
  5. Step 5: Solve for x
    x = 6,179,475.14/2,786.76
  6. Step 6: Final answer
    x = 2,217.44

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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.