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Finding the Fourth Proportional to 2,277.92, 3,142.68 and 1,579.88

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Solution

The fourth proportional to 2,277.92, 3,142.68 and 1,579.88 is: 2,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.92 : 3,142.68 = 1,579.88 : x
  2. Step 2: Convert to fraction form
    2,277.92/3,142.68 = 1,579.88/x
  3. Step 3: Cross multiply
    2,277.92x = 3,142.68 × 1,579.88
  4. Step 4: Simplify right side
    2,277.92x = 4,965,057.28
  5. Step 5: Solve for x
    x = 4,965,057.28/2,277.92
  6. Step 6: Final answer
    x = 2,179.65

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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.