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Finding the Fourth Proportional to 2,180.05, 3,270.14 and 719.31

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Solution

The fourth proportional to 2,180.05, 3,270.14 and 719.31 is: 1,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.05 : 3,270.14 = 719.31 : x
  2. Step 2: Convert to fraction form
    2,180.05/3,270.14 = 719.31/x
  3. Step 3: Cross multiply
    2,180.05x = 3,270.14 × 719.31
  4. Step 4: Simplify right side
    2,180.05x = 2,352,255.77
  5. Step 5: Solve for x
    x = 2,352,255.77/2,180.05
  6. Step 6: Final answer
    x = 1,078.99

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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.