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Finding the Fourth Proportional to 1,694.28, 2,337.96 and 938.01

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Solution

The fourth proportional to 1,694.28, 2,337.96 and 938.01 is: 1,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.28 : 2,337.96 = 938.01 : x
  2. Step 2: Convert to fraction form
    1,694.28/2,337.96 = 938.01/x
  3. Step 3: Cross multiply
    1,694.28x = 2,337.96 × 938.01
  4. Step 4: Simplify right side
    1,694.28x = 2,193,042.14
  5. Step 5: Solve for x
    x = 2,193,042.14/1,694.28
  6. Step 6: Final answer
    x = 1,294.38

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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.