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Finding the Fourth Proportional to 1,626.06, 2,244 and 927.44

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Solution

The fourth proportional to 1,626.06, 2,244 and 927.44 is: 1,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.06 : 2,244 = 927.44 : x
  2. Step 2: Convert to fraction form
    1,626.06/2,244 = 927.44/x
  3. Step 3: Cross multiply
    1,626.06x = 2,244 × 927.44
  4. Step 4: Simplify right side
    1,626.06x = 2,081,175.36
  5. Step 5: Solve for x
    x = 2,081,175.36/1,626.06
  6. Step 6: Final answer
    x = 1,279.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.