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Finding the Fourth Proportional to 2,550.72, 3,520.05 and 1,431.74

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Solution

The fourth proportional to 2,550.72, 3,520.05 and 1,431.74 is: 1,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.72 : 3,520.05 = 1,431.74 : x
  2. Step 2: Convert to fraction form
    2,550.72/3,520.05 = 1,431.74/x
  3. Step 3: Cross multiply
    2,550.72x = 3,520.05 × 1,431.74
  4. Step 4: Simplify right side
    2,550.72x = 5,039,789.23
  5. Step 5: Solve for x
    x = 5,039,789.23/2,550.72
  6. Step 6: Final answer
    x = 1,975.83

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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.