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Finding the Fourth Proportional to 2,794.44, 4,185.42 and 2,177.16

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Solution

The fourth proportional to 2,794.44, 4,185.42 and 2,177.16 is: 3,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.44 : 4,185.42 = 2,177.16 : x
  2. Step 2: Convert to fraction form
    2,794.44/4,185.42 = 2,177.16/x
  3. Step 3: Cross multiply
    2,794.44x = 4,185.42 × 2,177.16
  4. Step 4: Simplify right side
    2,794.44x = 9,112,329.01
  5. Step 5: Solve for x
    x = 9,112,329.01/2,794.44
  6. Step 6: Final answer
    x = 3,260.88

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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.