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Finding the Fourth Proportional to 3,188.97, 4,782.59 and 2,017.21

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Solution

The fourth proportional to 3,188.97, 4,782.59 and 2,017.21 is: 3,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.97 : 4,782.59 = 2,017.21 : x
  2. Step 2: Convert to fraction form
    3,188.97/4,782.59 = 2,017.21/x
  3. Step 3: Cross multiply
    3,188.97x = 4,782.59 × 2,017.21
  4. Step 4: Simplify right side
    3,188.97x = 9,647,491.83
  5. Step 5: Solve for x
    x = 9,647,491.83/3,188.97
  6. Step 6: Final answer
    x = 3,025.27

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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.