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Finding the Fourth Proportional to 2,299.84, 3,449.27 and 739.97

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Solution

The fourth proportional to 2,299.84, 3,449.27 and 739.97 is: 1,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.84 : 3,449.27 = 739.97 : x
  2. Step 2: Convert to fraction form
    2,299.84/3,449.27 = 739.97/x
  3. Step 3: Cross multiply
    2,299.84x = 3,449.27 × 739.97
  4. Step 4: Simplify right side
    2,299.84x = 2,552,367.37
  5. Step 5: Solve for x
    x = 2,552,367.37/2,299.84
  6. Step 6: Final answer
    x = 1,109.80

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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.