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Finding the Fourth Proportional to 2,729.88, 4,084.16 and 2,329.54

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Solution

The fourth proportional to 2,729.88, 4,084.16 and 2,329.54 is: 3,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.88 : 4,084.16 = 2,329.54 : x
  2. Step 2: Convert to fraction form
    2,729.88/4,084.16 = 2,329.54/x
  3. Step 3: Cross multiply
    2,729.88x = 4,084.16 × 2,329.54
  4. Step 4: Simplify right side
    2,729.88x = 9,514,214.09
  5. Step 5: Solve for x
    x = 9,514,214.09/2,729.88
  6. Step 6: Final answer
    x = 3,485.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.