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Finding the Fourth Proportional to 2,778.69, 3,833.85 and 1,659.12

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Solution

The fourth proportional to 2,778.69, 3,833.85 and 1,659.12 is: 2,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.69 : 3,833.85 = 1,659.12 : x
  2. Step 2: Convert to fraction form
    2,778.69/3,833.85 = 1,659.12/x
  3. Step 3: Cross multiply
    2,778.69x = 3,833.85 × 1,659.12
  4. Step 4: Simplify right side
    2,778.69x = 6,360,817.21
  5. Step 5: Solve for x
    x = 6,360,817.21/2,778.69
  6. Step 6: Final answer
    x = 2,289.14

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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.