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Finding the Fourth Proportional to 2,180.30, 3,269.99 and 719.12

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Solution

The fourth proportional to 2,180.30, 3,269.99 and 719.12 is: 1,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.30 : 3,269.99 = 719.12 : x
  2. Step 2: Convert to fraction form
    2,180.30/3,269.99 = 719.12/x
  3. Step 3: Cross multiply
    2,180.30x = 3,269.99 × 719.12
  4. Step 4: Simplify right side
    2,180.30x = 2,351,495.26
  5. Step 5: Solve for x
    x = 2,351,495.26/2,180.30
  6. Step 6: Final answer
    x = 1,078.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.