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Finding the Fourth Proportional to 1,964.16, 2,709.44 and 1,649.76

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Solution

The fourth proportional to 1,964.16, 2,709.44 and 1,649.76 is: 2,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.16 : 2,709.44 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    1,964.16/2,709.44 = 1,649.76/x
  3. Step 3: Cross multiply
    1,964.16x = 2,709.44 × 1,649.76
  4. Step 4: Simplify right side
    1,964.16x = 4,469,925.73
  5. Step 5: Solve for x
    x = 4,469,925.73/1,964.16
  6. Step 6: Final answer
    x = 2,275.74

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