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Finding the Fourth Proportional to 3,225.14, 4,450.78 and 1,827.88

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Solution

The fourth proportional to 3,225.14, 4,450.78 and 1,827.88 is: 2,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.14 : 4,450.78 = 1,827.88 : x
  2. Step 2: Convert to fraction form
    3,225.14/4,450.78 = 1,827.88/x
  3. Step 3: Cross multiply
    3,225.14x = 4,450.78 × 1,827.88
  4. Step 4: Simplify right side
    3,225.14x = 8,135,491.75
  5. Step 5: Solve for x
    x = 8,135,491.75/3,225.14
  6. Step 6: Final answer
    x = 2,522.52

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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.