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Finding the Fourth Proportional to 2,799.86, 3,863.60 and 1,680.24

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Solution

The fourth proportional to 2,799.86, 3,863.60 and 1,680.24 is: 2,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.86 : 3,863.60 = 1,680.24 : x
  2. Step 2: Convert to fraction form
    2,799.86/3,863.60 = 1,680.24/x
  3. Step 3: Cross multiply
    2,799.86x = 3,863.60 × 1,680.24
  4. Step 4: Simplify right side
    2,799.86x = 6,491,775.26
  5. Step 5: Solve for x
    x = 6,491,775.26/2,799.86
  6. Step 6: Final answer
    x = 2,318.61

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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.