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Finding the Fourth Proportional to 1,855.10, 2,546.42 and 1,640.58

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Solution

The fourth proportional to 1,855.10, 2,546.42 and 1,640.58 is: 2,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.10 : 2,546.42 = 1,640.58 : x
  2. Step 2: Convert to fraction form
    1,855.10/2,546.42 = 1,640.58/x
  3. Step 3: Cross multiply
    1,855.10x = 2,546.42 × 1,640.58
  4. Step 4: Simplify right side
    1,855.10x = 4,177,605.72
  5. Step 5: Solve for x
    x = 4,177,605.72/1,855.10
  6. Step 6: Final answer
    x = 2,251.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.