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Finding the Fourth Proportional to 3,342, 5,009.68 and 2,243.84

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Solution

The fourth proportional to 3,342, 5,009.68 and 2,243.84 is: 3,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342 : 5,009.68 = 2,243.84 : x
  2. Step 2: Convert to fraction form
    3,342/5,009.68 = 2,243.84/x
  3. Step 3: Cross multiply
    3,342x = 5,009.68 × 2,243.84
  4. Step 4: Simplify right side
    3,342x = 11,240,920.37
  5. Step 5: Solve for x
    x = 11,240,920.37/3,342
  6. Step 6: Final answer
    x = 3,363.53

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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.