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Finding the Fourth Proportional to 2,505.43, 3,455.67 and 2,173.29

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Solution

The fourth proportional to 2,505.43, 3,455.67 and 2,173.29 is: 2,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.43 : 3,455.67 = 2,173.29 : x
  2. Step 2: Convert to fraction form
    2,505.43/3,455.67 = 2,173.29/x
  3. Step 3: Cross multiply
    2,505.43x = 3,455.67 × 2,173.29
  4. Step 4: Simplify right side
    2,505.43x = 7,510,173.05
  5. Step 5: Solve for x
    x = 7,510,173.05/2,505.43
  6. Step 6: Final answer
    x = 2,997.56

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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.