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Finding the Fourth Proportional to 1,694.25, 2,338.47 and 996.03

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Solution

The fourth proportional to 1,694.25, 2,338.47 and 996.03 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.25 : 2,338.47 = 996.03 : x
  2. Step 2: Convert to fraction form
    1,694.25/2,338.47 = 996.03/x
  3. Step 3: Cross multiply
    1,694.25x = 2,338.47 × 996.03
  4. Step 4: Simplify right side
    1,694.25x = 2,329,186.27
  5. Step 5: Solve for x
    x = 2,329,186.27/1,694.25
  6. Step 6: Final answer
    x = 1,374.76

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1.5x scale

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.