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Finding the Fourth Proportional to 2,550.80, 3,520.16 and 1,431.82

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Solution

The fourth proportional to 2,550.80, 3,520.16 and 1,431.82 is: 1,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.80 : 3,520.16 = 1,431.82 : x
  2. Step 2: Convert to fraction form
    2,550.80/3,520.16 = 1,431.82/x
  3. Step 3: Cross multiply
    2,550.80x = 3,520.16 × 1,431.82
  4. Step 4: Simplify right side
    2,550.80x = 5,040,235.49
  5. Step 5: Solve for x
    x = 5,040,235.49/2,550.80
  6. Step 6: Final answer
    x = 1,975.94

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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.