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Finding the Fourth Proportional to 3,225.65, 4,450.25 and 1,828.40

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Solution

The fourth proportional to 3,225.65, 4,450.25 and 1,828.40 is: 2,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.65 : 4,450.25 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    3,225.65/4,450.25 = 1,828.40/x
  3. Step 3: Cross multiply
    3,225.65x = 4,450.25 × 1,828.40
  4. Step 4: Simplify right side
    3,225.65x = 8,136,827.96
  5. Step 5: Solve for x
    x = 8,136,827.96/3,225.65
  6. Step 6: Final answer
    x = 2,522.54

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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.