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Finding the Fourth Proportional to 2,752.28, 3,794.40 and 1,964.96

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Solution

The fourth proportional to 2,752.28, 3,794.40 and 1,964.96 is: 2,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.28 : 3,794.40 = 1,964.96 : x
  2. Step 2: Convert to fraction form
    2,752.28/3,794.40 = 1,964.96/x
  3. Step 3: Cross multiply
    2,752.28x = 3,794.40 × 1,964.96
  4. Step 4: Simplify right side
    2,752.28x = 7,455,844.22
  5. Step 5: Solve for x
    x = 7,455,844.22/2,752.28
  6. Step 6: Final answer
    x = 2,708.97

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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.