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Finding the Fourth Proportional to 2,381.60, 3,286.95 and 1,387.43

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Solution

The fourth proportional to 2,381.60, 3,286.95 and 1,387.43 is: 1,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.60 : 3,286.95 = 1,387.43 : x
  2. Step 2: Convert to fraction form
    2,381.60/3,286.95 = 1,387.43/x
  3. Step 3: Cross multiply
    2,381.60x = 3,286.95 × 1,387.43
  4. Step 4: Simplify right side
    2,381.60x = 4,560,403.73
  5. Step 5: Solve for x
    x = 4,560,403.73/2,381.60
  6. Step 6: Final answer
    x = 1,914.85

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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.