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Finding the Fourth Proportional to 3,287.44, 4,928 and 1,094.64

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Solution

The fourth proportional to 3,287.44, 4,928 and 1,094.64 is: 1,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.44 : 4,928 = 1,094.64 : x
  2. Step 2: Convert to fraction form
    3,287.44/4,928 = 1,094.64/x
  3. Step 3: Cross multiply
    3,287.44x = 4,928 × 1,094.64
  4. Step 4: Simplify right side
    3,287.44x = 5,394,385.92
  5. Step 5: Solve for x
    x = 5,394,385.92/3,287.44
  6. Step 6: Final answer
    x = 1,640.91

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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.