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Finding the Fourth Proportional to 2,838.90, 3,917.62 and 1,579.90

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Solution

The fourth proportional to 2,838.90, 3,917.62 and 1,579.90 is: 2,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.90 : 3,917.62 = 1,579.90 : x
  2. Step 2: Convert to fraction form
    2,838.90/3,917.62 = 1,579.90/x
  3. Step 3: Cross multiply
    2,838.90x = 3,917.62 × 1,579.90
  4. Step 4: Simplify right side
    2,838.90x = 6,189,447.84
  5. Step 5: Solve for x
    x = 6,189,447.84/2,838.90
  6. Step 6: Final answer
    x = 2,180.23

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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.