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Finding the Fourth Proportional to 2,381.80, 3,286.82 and 1,387.42

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Solution

The fourth proportional to 2,381.80, 3,286.82 and 1,387.42 is: 1,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.80 : 3,286.82 = 1,387.42 : x
  2. Step 2: Convert to fraction form
    2,381.80/3,286.82 = 1,387.42/x
  3. Step 3: Cross multiply
    2,381.80x = 3,286.82 × 1,387.42
  4. Step 4: Simplify right side
    2,381.80x = 4,560,176.43
  5. Step 5: Solve for x
    x = 4,560,176.43/2,381.80
  6. Step 6: Final answer
    x = 1,914.60

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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.