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Finding the Fourth Proportional to 2,794.08, 3,856.32 and 1,615.68

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Solution

The fourth proportional to 2,794.08, 3,856.32 and 1,615.68 is: 2,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.08 : 3,856.32 = 1,615.68 : x
  2. Step 2: Convert to fraction form
    2,794.08/3,856.32 = 1,615.68/x
  3. Step 3: Cross multiply
    2,794.08x = 3,856.32 × 1,615.68
  4. Step 4: Simplify right side
    2,794.08x = 6,230,579.10
  5. Step 5: Solve for x
    x = 6,230,579.10/2,794.08
  6. Step 6: Final answer
    x = 2,229.92

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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.