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Finding the Fourth Proportional to 2,173.56, 2,998.99 and 1,289.20

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Solution

The fourth proportional to 2,173.56, 2,998.99 and 1,289.20 is: 1,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.56 : 2,998.99 = 1,289.20 : x
  2. Step 2: Convert to fraction form
    2,173.56/2,998.99 = 1,289.20/x
  3. Step 3: Cross multiply
    2,173.56x = 2,998.99 × 1,289.20
  4. Step 4: Simplify right side
    2,173.56x = 3,866,297.91
  5. Step 5: Solve for x
    x = 3,866,297.91/2,173.56
  6. Step 6: Final answer
    x = 1,778.79

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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.