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Finding the Fourth Proportional to 2,172.33, 2,999.34 and 1,674.18

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Solution

The fourth proportional to 2,172.33, 2,999.34 and 1,674.18 is: 2,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.33 : 2,999.34 = 1,674.18 : x
  2. Step 2: Convert to fraction form
    2,172.33/2,999.34 = 1,674.18/x
  3. Step 3: Cross multiply
    2,172.33x = 2,999.34 × 1,674.18
  4. Step 4: Simplify right side
    2,172.33x = 5,021,435.04
  5. Step 5: Solve for x
    x = 5,021,435.04/2,172.33
  6. Step 6: Final answer
    x = 2,311.54

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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.