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Finding the Fourth Proportional to 2,728.40, 4,092.08 and 879.20

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Solution

The fourth proportional to 2,728.40, 4,092.08 and 879.20 is: 1,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.40 : 4,092.08 = 879.20 : x
  2. Step 2: Convert to fraction form
    2,728.40/4,092.08 = 879.20/x
  3. Step 3: Cross multiply
    2,728.40x = 4,092.08 × 879.20
  4. Step 4: Simplify right side
    2,728.40x = 3,597,756.74
  5. Step 5: Solve for x
    x = 3,597,756.74/2,728.40
  6. Step 6: Final answer
    x = 1,318.63

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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.