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Finding the Fourth Proportional to 1,579.26, 2,179.12 and 949.69

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Solution

The fourth proportional to 1,579.26, 2,179.12 and 949.69 is: 1,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.26 : 2,179.12 = 949.69 : x
  2. Step 2: Convert to fraction form
    1,579.26/2,179.12 = 949.69/x
  3. Step 3: Cross multiply
    1,579.26x = 2,179.12 × 949.69
  4. Step 4: Simplify right side
    1,579.26x = 2,069,488.47
  5. Step 5: Solve for x
    x = 2,069,488.47/1,579.26
  6. Step 6: Final answer
    x = 1,310.42

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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.