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Finding the Fourth Proportional to 2,713.88, 3,744.05 and 1,829.97

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Solution

The fourth proportional to 2,713.88, 3,744.05 and 1,829.97 is: 2,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.88 : 3,744.05 = 1,829.97 : x
  2. Step 2: Convert to fraction form
    2,713.88/3,744.05 = 1,829.97/x
  3. Step 3: Cross multiply
    2,713.88x = 3,744.05 × 1,829.97
  4. Step 4: Simplify right side
    2,713.88x = 6,851,490.03
  5. Step 5: Solve for x
    x = 6,851,490.03/2,713.88
  6. Step 6: Final answer
    x = 2,524.62

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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.