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Finding the Fourth Proportional to 1,579.20, 2,179.84 and 950.08

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Solution

The fourth proportional to 1,579.20, 2,179.84 and 950.08 is: 1,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.20 : 2,179.84 = 950.08 : x
  2. Step 2: Convert to fraction form
    1,579.20/2,179.84 = 950.08/x
  3. Step 3: Cross multiply
    1,579.20x = 2,179.84 × 950.08
  4. Step 4: Simplify right side
    1,579.20x = 2,071,022.39
  5. Step 5: Solve for x
    x = 2,071,022.39/1,579.20
  6. Step 6: Final answer
    x = 1,311.44

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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.