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Finding the Fourth Proportional to 2,381.15, 3,286.15 and 1,333.22

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Solution

The fourth proportional to 2,381.15, 3,286.15 and 1,333.22 is: 1,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.15 : 3,286.15 = 1,333.22 : x
  2. Step 2: Convert to fraction form
    2,381.15/3,286.15 = 1,333.22/x
  3. Step 3: Cross multiply
    2,381.15x = 3,286.15 × 1,333.22
  4. Step 4: Simplify right side
    2,381.15x = 4,381,141.14
  5. Step 5: Solve for x
    x = 4,381,141.14/2,381.15
  6. Step 6: Final answer
    x = 1,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.