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Finding the Fourth Proportional to 2,841.12, 3,920.76 and 1,599.12

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Solution

The fourth proportional to 2,841.12, 3,920.76 and 1,599.12 is: 2,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.12 : 3,920.76 = 1,599.12 : x
  2. Step 2: Convert to fraction form
    2,841.12/3,920.76 = 1,599.12/x
  3. Step 3: Cross multiply
    2,841.12x = 3,920.76 × 1,599.12
  4. Step 4: Simplify right side
    2,841.12x = 6,269,765.73
  5. Step 5: Solve for x
    x = 6,269,765.73/2,841.12
  6. Step 6: Final answer
    x = 2,206.79

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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.