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Finding the Fourth Proportional to 2,698.26, 3,724.11 and 1,703.94

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Solution

The fourth proportional to 2,698.26, 3,724.11 and 1,703.94 is: 2,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.26 : 3,724.11 = 1,703.94 : x
  2. Step 2: Convert to fraction form
    2,698.26/3,724.11 = 1,703.94/x
  3. Step 3: Cross multiply
    2,698.26x = 3,724.11 × 1,703.94
  4. Step 4: Simplify right side
    2,698.26x = 6,345,659.99
  5. Step 5: Solve for x
    x = 6,345,659.99/2,698.26
  6. Step 6: Final answer
    x = 2,351.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.