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Finding the Fourth Proportional to 2,550.64, 3,519.70 and 1,431.52

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Solution

The fourth proportional to 2,550.64, 3,519.70 and 1,431.52 is: 1,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.64 : 3,519.70 = 1,431.52 : x
  2. Step 2: Convert to fraction form
    2,550.64/3,519.70 = 1,431.52/x
  3. Step 3: Cross multiply
    2,550.64x = 3,519.70 × 1,431.52
  4. Step 4: Simplify right side
    2,550.64x = 5,038,520.94
  5. Step 5: Solve for x
    x = 5,038,520.94/2,550.64
  6. Step 6: Final answer
    x = 1,975.39

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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.