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Finding the Fourth Proportional to 3,321.75, 4,584.22 and 1,829.67

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Solution

The fourth proportional to 3,321.75, 4,584.22 and 1,829.67 is: 2,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.75 : 4,584.22 = 1,829.67 : x
  2. Step 2: Convert to fraction form
    3,321.75/4,584.22 = 1,829.67/x
  3. Step 3: Cross multiply
    3,321.75x = 4,584.22 × 1,829.67
  4. Step 4: Simplify right side
    3,321.75x = 8,387,602.92
  5. Step 5: Solve for x
    x = 8,387,602.92/3,321.75
  6. Step 6: Final answer
    x = 2,525.06

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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.