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Finding the Fourth Proportional to 3,338.94, 4,608.38 and 1,923.57

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Solution

The fourth proportional to 3,338.94, 4,608.38 and 1,923.57 is: 2,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.94 : 4,608.38 = 1,923.57 : x
  2. Step 2: Convert to fraction form
    3,338.94/4,608.38 = 1,923.57/x
  3. Step 3: Cross multiply
    3,338.94x = 4,608.38 × 1,923.57
  4. Step 4: Simplify right side
    3,338.94x = 8,864,531.90
  5. Step 5: Solve for x
    x = 8,864,531.90/3,338.94
  6. Step 6: Final answer
    x = 2,654.89

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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.