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Finding the Fourth Proportional to 3,456.88, 4,770.45 and 1,884.97

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Solution

The fourth proportional to 3,456.88, 4,770.45 and 1,884.97 is: 2,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.88 : 4,770.45 = 1,884.97 : x
  2. Step 2: Convert to fraction form
    3,456.88/4,770.45 = 1,884.97/x
  3. Step 3: Cross multiply
    3,456.88x = 4,770.45 × 1,884.97
  4. Step 4: Simplify right side
    3,456.88x = 8,992,155.14
  5. Step 5: Solve for x
    x = 8,992,155.14/3,456.88
  6. Step 6: Final answer
    x = 2,601.23

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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.