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Finding the Fourth Proportional to 2,841, 3,920.82 and 1,599.24

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Solution

The fourth proportional to 2,841, 3,920.82 and 1,599.24 is: 2,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 3,920.82 = 1,599.24 : x
  2. Step 2: Convert to fraction form
    2,841/3,920.82 = 1,599.24/x
  3. Step 3: Cross multiply
    2,841x = 3,920.82 × 1,599.24
  4. Step 4: Simplify right side
    2,841x = 6,270,332.18
  5. Step 5: Solve for x
    x = 6,270,332.18/2,841
  6. Step 6: Final answer
    x = 2,207.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.