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Finding the Fourth Proportional to 2,144.34, 3,202.19 and 1,832.94

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Solution

The fourth proportional to 2,144.34, 3,202.19 and 1,832.94 is: 2,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.34 : 3,202.19 = 1,832.94 : x
  2. Step 2: Convert to fraction form
    2,144.34/3,202.19 = 1,832.94/x
  3. Step 3: Cross multiply
    2,144.34x = 3,202.19 × 1,832.94
  4. Step 4: Simplify right side
    2,144.34x = 5,869,412.97
  5. Step 5: Solve for x
    x = 5,869,412.97/2,144.34
  6. Step 6: Final answer
    x = 2,737.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.