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Finding the Fourth Proportional to 1,279.45, 1,919.16 and 1,105.58

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Solution

The fourth proportional to 1,279.45, 1,919.16 and 1,105.58 is: 1,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.45 : 1,919.16 = 1,105.58 : x
  2. Step 2: Convert to fraction form
    1,279.45/1,919.16 = 1,105.58/x
  3. Step 3: Cross multiply
    1,279.45x = 1,919.16 × 1,105.58
  4. Step 4: Simplify right side
    1,279.45x = 2,121,796.07
  5. Step 5: Solve for x
    x = 2,121,796.07/1,279.45
  6. Step 6: Final answer
    x = 1,658.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.