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Finding the Fourth Proportional to 2,550.77, 3,520.04 and 1,431.70

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Solution

The fourth proportional to 2,550.77, 3,520.04 and 1,431.70 is: 1,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.77 : 3,520.04 = 1,431.70 : x
  2. Step 2: Convert to fraction form
    2,550.77/3,520.04 = 1,431.70/x
  3. Step 3: Cross multiply
    2,550.77x = 3,520.04 × 1,431.70
  4. Step 4: Simplify right side
    2,550.77x = 5,039,636.05
  5. Step 5: Solve for x
    x = 5,039,636.05/2,550.77
  6. Step 6: Final answer
    x = 1,975.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.