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Finding the Fourth Proportional to 2,381.53, 3,286.41 and 1,333.57

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Solution

The fourth proportional to 2,381.53, 3,286.41 and 1,333.57 is: 1,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.53 : 3,286.41 = 1,333.57 : x
  2. Step 2: Convert to fraction form
    2,381.53/3,286.41 = 1,333.57/x
  3. Step 3: Cross multiply
    2,381.53x = 3,286.41 × 1,333.57
  4. Step 4: Simplify right side
    2,381.53x = 4,382,657.78
  5. Step 5: Solve for x
    x = 4,382,657.78/2,381.53
  6. Step 6: Final answer
    x = 1,840.27

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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.