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Finding the Fourth Proportional to 2,381.70, 3,286.17 and 1,386.78

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Solution

The fourth proportional to 2,381.70, 3,286.17 and 1,386.78 is: 1,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.70 : 3,286.17 = 1,386.78 : x
  2. Step 2: Convert to fraction form
    2,381.70/3,286.17 = 1,386.78/x
  3. Step 3: Cross multiply
    2,381.70x = 3,286.17 × 1,386.78
  4. Step 4: Simplify right side
    2,381.70x = 4,557,194.83
  5. Step 5: Solve for x
    x = 4,557,194.83/2,381.70
  6. Step 6: Final answer
    x = 1,913.42

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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.