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Finding the Fourth Proportional to 3,321.46, 4,583.63 and 1,829.41

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Solution

The fourth proportional to 3,321.46, 4,583.63 and 1,829.41 is: 2,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.46 : 4,583.63 = 1,829.41 : x
  2. Step 2: Convert to fraction form
    3,321.46/4,583.63 = 1,829.41/x
  3. Step 3: Cross multiply
    3,321.46x = 4,583.63 × 1,829.41
  4. Step 4: Simplify right side
    3,321.46x = 8,385,329.41
  5. Step 5: Solve for x
    x = 8,385,329.41/3,321.46
  6. Step 6: Final answer
    x = 2,524.59

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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.