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Finding the Fourth Proportional to 3,097.82, 4,274.97 and 1,839.49

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Solution

The fourth proportional to 3,097.82, 4,274.97 and 1,839.49 is: 2,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.82 : 4,274.97 = 1,839.49 : x
  2. Step 2: Convert to fraction form
    3,097.82/4,274.97 = 1,839.49/x
  3. Step 3: Cross multiply
    3,097.82x = 4,274.97 × 1,839.49
  4. Step 4: Simplify right side
    3,097.82x = 7,863,764.57
  5. Step 5: Solve for x
    x = 7,863,764.57/3,097.82
  6. Step 6: Final answer
    x = 2,538.48

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1.5x scale

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.