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Finding the Fourth Proportional to 2,794.28, 3,857.16 and 2,399.72

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Solution

The fourth proportional to 2,794.28, 3,857.16 and 2,399.72 is: 3,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.28 : 3,857.16 = 2,399.72 : x
  2. Step 2: Convert to fraction form
    2,794.28/3,857.16 = 2,399.72/x
  3. Step 3: Cross multiply
    2,794.28x = 3,857.16 × 2,399.72
  4. Step 4: Simplify right side
    2,794.28x = 9,256,104.00
  5. Step 5: Solve for x
    x = 9,256,104.00/2,794.28
  6. Step 6: Final answer
    x = 3,312.52

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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.