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Finding the Fourth Proportional to 2,146.82, 2,964.05 and 1,648.58

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Solution

The fourth proportional to 2,146.82, 2,964.05 and 1,648.58 is: 2,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.82 : 2,964.05 = 1,648.58 : x
  2. Step 2: Convert to fraction form
    2,146.82/2,964.05 = 1,648.58/x
  3. Step 3: Cross multiply
    2,146.82x = 2,964.05 × 1,648.58
  4. Step 4: Simplify right side
    2,146.82x = 4,886,450.49
  5. Step 5: Solve for x
    x = 4,886,450.49/2,146.82
  6. Step 6: Final answer
    x = 2,276.14

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