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Finding the Fourth Proportional to 2,153.29, 3,229.48 and 982.96

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Solution

The fourth proportional to 2,153.29, 3,229.48 and 982.96 is: 1,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.29 : 3,229.48 = 982.96 : x
  2. Step 2: Convert to fraction form
    2,153.29/3,229.48 = 982.96/x
  3. Step 3: Cross multiply
    2,153.29x = 3,229.48 × 982.96
  4. Step 4: Simplify right side
    2,153.29x = 3,174,444.75
  5. Step 5: Solve for x
    x = 3,174,444.75/2,153.29
  6. Step 6: Final answer
    x = 1,474.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.