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Finding the Fourth Proportional to 2,189.28, 2,997.03 and 2,173.65

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Solution

The fourth proportional to 2,189.28, 2,997.03 and 2,173.65 is: 2,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.28 : 2,997.03 = 2,173.65 : x
  2. Step 2: Convert to fraction form
    2,189.28/2,997.03 = 2,173.65/x
  3. Step 3: Cross multiply
    2,189.28x = 2,997.03 × 2,173.65
  4. Step 4: Simplify right side
    2,189.28x = 6,514,468.41
  5. Step 5: Solve for x
    x = 6,514,468.41/2,189.28
  6. Step 6: Final answer
    x = 2,975.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.