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Finding the Fourth Proportional to 2,120.93, 3,180.20 and 871.18

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Solution

The fourth proportional to 2,120.93, 3,180.20 and 871.18 is: 1,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.93 : 3,180.20 = 871.18 : x
  2. Step 2: Convert to fraction form
    2,120.93/3,180.20 = 871.18/x
  3. Step 3: Cross multiply
    2,120.93x = 3,180.20 × 871.18
  4. Step 4: Simplify right side
    2,120.93x = 2,770,526.64
  5. Step 5: Solve for x
    x = 2,770,526.64/2,120.93
  6. Step 6: Final answer
    x = 1,306.28

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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.