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Finding the Fourth Proportional to 3,456.42, 4,769.82 and 1,884.48

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Solution

The fourth proportional to 3,456.42, 4,769.82 and 1,884.48 is: 2,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.42 : 4,769.82 = 1,884.48 : x
  2. Step 2: Convert to fraction form
    3,456.42/4,769.82 = 1,884.48/x
  3. Step 3: Cross multiply
    3,456.42x = 4,769.82 × 1,884.48
  4. Step 4: Simplify right side
    3,456.42x = 8,988,630.39
  5. Step 5: Solve for x
    x = 8,988,630.39/3,456.42
  6. Step 6: Final answer
    x = 2,600.56

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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.