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Finding the Fourth Proportional to 2,380.57, 3,286.01 and 1,636.99

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Solution

The fourth proportional to 2,380.57, 3,286.01 and 1,636.99 is: 2,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.57 : 3,286.01 = 1,636.99 : x
  2. Step 2: Convert to fraction form
    2,380.57/3,286.01 = 1,636.99/x
  3. Step 3: Cross multiply
    2,380.57x = 3,286.01 × 1,636.99
  4. Step 4: Simplify right side
    2,380.57x = 5,379,165.51
  5. Step 5: Solve for x
    x = 5,379,165.51/2,380.57
  6. Step 6: Final answer
    x = 2,259.61

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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.