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Finding the Fourth Proportional to 1,694.31, 2,546.26 and 1,001.33

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Solution

The fourth proportional to 1,694.31, 2,546.26 and 1,001.33 is: 1,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.31 : 2,546.26 = 1,001.33 : x
  2. Step 2: Convert to fraction form
    1,694.31/2,546.26 = 1,001.33/x
  3. Step 3: Cross multiply
    1,694.31x = 2,546.26 × 1,001.33
  4. Step 4: Simplify right side
    1,694.31x = 2,549,650.39
  5. Step 5: Solve for x
    x = 2,549,650.39/1,694.31
  6. Step 6: Final answer
    x = 1,504.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.