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Finding the Fourth Proportional to 2,381.68, 3,286.72 and 1,333.96

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Solution

The fourth proportional to 2,381.68, 3,286.72 and 1,333.96 is: 1,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.68 : 3,286.72 = 1,333.96 : x
  2. Step 2: Convert to fraction form
    2,381.68/3,286.72 = 1,333.96/x
  3. Step 3: Cross multiply
    2,381.68x = 3,286.72 × 1,333.96
  4. Step 4: Simplify right side
    2,381.68x = 4,384,353.01
  5. Step 5: Solve for x
    x = 4,384,353.01/2,381.68
  6. Step 6: Final answer
    x = 1,840.87

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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.