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Finding the Fourth Proportional to 1,601.33, 2,210.43 and 938.39

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Solution

The fourth proportional to 1,601.33, 2,210.43 and 938.39 is: 1,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.33 : 2,210.43 = 938.39 : x
  2. Step 2: Convert to fraction form
    1,601.33/2,210.43 = 938.39/x
  3. Step 3: Cross multiply
    1,601.33x = 2,210.43 × 938.39
  4. Step 4: Simplify right side
    1,601.33x = 2,074,234.36
  5. Step 5: Solve for x
    x = 2,074,234.36/1,601.33
  6. Step 6: Final answer
    x = 1,295.32

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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.