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Finding the Fourth Proportional to 2,584.12, 3,876.33 and 940.84

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Solution

The fourth proportional to 2,584.12, 3,876.33 and 940.84 is: 1,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.12 : 3,876.33 = 940.84 : x
  2. Step 2: Convert to fraction form
    2,584.12/3,876.33 = 940.84/x
  3. Step 3: Cross multiply
    2,584.12x = 3,876.33 × 940.84
  4. Step 4: Simplify right side
    2,584.12x = 3,647,006.32
  5. Step 5: Solve for x
    x = 3,647,006.32/2,584.12
  6. Step 6: Final answer
    x = 1,411.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.