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Finding the Fourth Proportional to 2,550.97, 3,520.36 and 1,431.93

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Solution

The fourth proportional to 2,550.97, 3,520.36 and 1,431.93 is: 1,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.97 : 3,520.36 = 1,431.93 : x
  2. Step 2: Convert to fraction form
    2,550.97/3,520.36 = 1,431.93/x
  3. Step 3: Cross multiply
    2,550.97x = 3,520.36 × 1,431.93
  4. Step 4: Simplify right side
    2,550.97x = 5,040,909.09
  5. Step 5: Solve for x
    x = 5,040,909.09/2,550.97
  6. Step 6: Final answer
    x = 1,976.08

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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.