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Finding the Fourth Proportional to 1,694.38, 2,535.19 and 1,001.43

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Solution

The fourth proportional to 1,694.38, 2,535.19 and 1,001.43 is: 1,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.38 : 2,535.19 = 1,001.43 : x
  2. Step 2: Convert to fraction form
    1,694.38/2,535.19 = 1,001.43/x
  3. Step 3: Cross multiply
    1,694.38x = 2,535.19 × 1,001.43
  4. Step 4: Simplify right side
    1,694.38x = 2,538,815.32
  5. Step 5: Solve for x
    x = 2,538,815.32/1,694.38
  6. Step 6: Final answer
    x = 1,498.37

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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.