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Finding the Fourth Proportional to 1,626.14, 2,243.97 and 963.05

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Solution

The fourth proportional to 1,626.14, 2,243.97 and 963.05 is: 1,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.14 : 2,243.97 = 963.05 : x
  2. Step 2: Convert to fraction form
    1,626.14/2,243.97 = 963.05/x
  3. Step 3: Cross multiply
    1,626.14x = 2,243.97 × 963.05
  4. Step 4: Simplify right side
    1,626.14x = 2,161,044.09
  5. Step 5: Solve for x
    x = 2,161,044.09/1,626.14
  6. Step 6: Final answer
    x = 1,328.94

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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.