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Finding the Fourth Proportional to 3,241.98, 4,473.78 and 1,825.71

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Solution

The fourth proportional to 3,241.98, 4,473.78 and 1,825.71 is: 2,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.98 : 4,473.78 = 1,825.71 : x
  2. Step 2: Convert to fraction form
    3,241.98/4,473.78 = 1,825.71/x
  3. Step 3: Cross multiply
    3,241.98x = 4,473.78 × 1,825.71
  4. Step 4: Simplify right side
    3,241.98x = 8,167,824.88
  5. Step 5: Solve for x
    x = 8,167,824.88/3,241.98
  6. Step 6: Final answer
    x = 2,519.39

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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.