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Finding the Fourth Proportional to 2,317.73, 3,476.81 and 674.24

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Solution

The fourth proportional to 2,317.73, 3,476.81 and 674.24 is: 1,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.73 : 3,476.81 = 674.24 : x
  2. Step 2: Convert to fraction form
    2,317.73/3,476.81 = 674.24/x
  3. Step 3: Cross multiply
    2,317.73x = 3,476.81 × 674.24
  4. Step 4: Simplify right side
    2,317.73x = 2,344,188.68
  5. Step 5: Solve for x
    x = 2,344,188.68/2,317.73
  6. Step 6: Final answer
    x = 1,011.42

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Why These Related Problems?

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