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Finding the Fourth Proportional to 2,794.13, 3,856.24 and 1,599.56

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Solution

The fourth proportional to 2,794.13, 3,856.24 and 1,599.56 is: 2,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.13 : 3,856.24 = 1,599.56 : x
  2. Step 2: Convert to fraction form
    2,794.13/3,856.24 = 1,599.56/x
  3. Step 3: Cross multiply
    2,794.13x = 3,856.24 × 1,599.56
  4. Step 4: Simplify right side
    2,794.13x = 6,168,287.25
  5. Step 5: Solve for x
    x = 6,168,287.25/2,794.13
  6. Step 6: Final answer
    x = 2,207.59

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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.