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Finding the Fourth Proportional to 2,819.82, 3,891.70 and 1,701.40

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Solution

The fourth proportional to 2,819.82, 3,891.70 and 1,701.40 is: 2,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.82 : 3,891.70 = 1,701.40 : x
  2. Step 2: Convert to fraction form
    2,819.82/3,891.70 = 1,701.40/x
  3. Step 3: Cross multiply
    2,819.82x = 3,891.70 × 1,701.40
  4. Step 4: Simplify right side
    2,819.82x = 6,621,338.38
  5. Step 5: Solve for x
    x = 6,621,338.38/2,819.82
  6. Step 6: Final answer
    x = 2,348.14

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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.