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Finding the Fourth Proportional to 2,836.92, 3,913.92 and 1,788.96

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Solution

The fourth proportional to 2,836.92, 3,913.92 and 1,788.96 is: 2,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.92 : 3,913.92 = 1,788.96 : x
  2. Step 2: Convert to fraction form
    2,836.92/3,913.92 = 1,788.96/x
  3. Step 3: Cross multiply
    2,836.92x = 3,913.92 × 1,788.96
  4. Step 4: Simplify right side
    2,836.92x = 7,001,846.32
  5. Step 5: Solve for x
    x = 7,001,846.32/2,836.92
  6. Step 6: Final answer
    x = 2,468.12

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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.