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Finding the Fourth Proportional to 1,626.37, 2,244.26 and 918.39

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Solution

The fourth proportional to 1,626.37, 2,244.26 and 918.39 is: 1,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.37 : 2,244.26 = 918.39 : x
  2. Step 2: Convert to fraction form
    1,626.37/2,244.26 = 918.39/x
  3. Step 3: Cross multiply
    1,626.37x = 2,244.26 × 918.39
  4. Step 4: Simplify right side
    1,626.37x = 2,061,105.94
  5. Step 5: Solve for x
    x = 2,061,105.94/1,626.37
  6. Step 6: Final answer
    x = 1,267.30

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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.