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Finding the Fourth Proportional to 3,225.46, 4,450.82 and 1,828.20

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Solution

The fourth proportional to 3,225.46, 4,450.82 and 1,828.20 is: 2,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.46 : 4,450.82 = 1,828.20 : x
  2. Step 2: Convert to fraction form
    3,225.46/4,450.82 = 1,828.20/x
  3. Step 3: Cross multiply
    3,225.46x = 4,450.82 × 1,828.20
  4. Step 4: Simplify right side
    3,225.46x = 8,136,989.12
  5. Step 5: Solve for x
    x = 8,136,989.12/3,225.46
  6. Step 6: Final answer
    x = 2,522.74

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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.