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Finding the Fourth Proportional to 2,763.86, 3,812.98 and 1,584.27

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Solution

The fourth proportional to 2,763.86, 3,812.98 and 1,584.27 is: 2,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.86 : 3,812.98 = 1,584.27 : x
  2. Step 2: Convert to fraction form
    2,763.86/3,812.98 = 1,584.27/x
  3. Step 3: Cross multiply
    2,763.86x = 3,812.98 × 1,584.27
  4. Step 4: Simplify right side
    2,763.86x = 6,040,789.82
  5. Step 5: Solve for x
    x = 6,040,789.82/2,763.86
  6. Step 6: Final answer
    x = 2,185.64

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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.