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Finding the Fourth Proportional to 2,729.58, 4,094.40 and 2,185.22

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Solution

The fourth proportional to 2,729.58, 4,094.40 and 2,185.22 is: 3,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.58 : 4,094.40 = 2,185.22 : x
  2. Step 2: Convert to fraction form
    2,729.58/4,094.40 = 2,185.22/x
  3. Step 3: Cross multiply
    2,729.58x = 4,094.40 × 2,185.22
  4. Step 4: Simplify right side
    2,729.58x = 8,947,164.77
  5. Step 5: Solve for x
    x = 8,947,164.77/2,729.58
  6. Step 6: Final answer
    x = 3,277.85

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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.