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Finding the Fourth Proportional to 1,601.66, 2,209.92 and 938.48

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Solution

The fourth proportional to 1,601.66, 2,209.92 and 938.48 is: 1,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.66 : 2,209.92 = 938.48 : x
  2. Step 2: Convert to fraction form
    1,601.66/2,209.92 = 938.48/x
  3. Step 3: Cross multiply
    1,601.66x = 2,209.92 × 938.48
  4. Step 4: Simplify right side
    1,601.66x = 2,073,954.67
  5. Step 5: Solve for x
    x = 2,073,954.67/1,601.66
  6. Step 6: Final answer
    x = 1,294.88

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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.