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Finding the Fourth Proportional to 2,381.45, 3,286.17 and 1,386.77

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Solution

The fourth proportional to 2,381.45, 3,286.17 and 1,386.77 is: 1,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.45 : 3,286.17 = 1,386.77 : x
  2. Step 2: Convert to fraction form
    2,381.45/3,286.17 = 1,386.77/x
  3. Step 3: Cross multiply
    2,381.45x = 3,286.17 × 1,386.77
  4. Step 4: Simplify right side
    2,381.45x = 4,557,164.02
  5. Step 5: Solve for x
    x = 4,557,164.02/2,381.45
  6. Step 6: Final answer
    x = 1,913.61

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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.