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Finding the Fourth Proportional to 2,785.42, 3,843.99 and 1,606.60

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Solution

The fourth proportional to 2,785.42, 3,843.99 and 1,606.60 is: 2,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.42 : 3,843.99 = 1,606.60 : x
  2. Step 2: Convert to fraction form
    2,785.42/3,843.99 = 1,606.60/x
  3. Step 3: Cross multiply
    2,785.42x = 3,843.99 × 1,606.60
  4. Step 4: Simplify right side
    2,785.42x = 6,175,754.33
  5. Step 5: Solve for x
    x = 6,175,754.33/2,785.42
  6. Step 6: Final answer
    x = 2,217.17

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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.