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Finding the Fourth Proportional to 1,948.22, 2,923.72 and 1,462.58

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Solution

The fourth proportional to 1,948.22, 2,923.72 and 1,462.58 is: 2,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.22 : 2,923.72 = 1,462.58 : x
  2. Step 2: Convert to fraction form
    1,948.22/2,923.72 = 1,462.58/x
  3. Step 3: Cross multiply
    1,948.22x = 2,923.72 × 1,462.58
  4. Step 4: Simplify right side
    1,948.22x = 4,276,174.40
  5. Step 5: Solve for x
    x = 4,276,174.40/1,948.22
  6. Step 6: Final answer
    x = 2,194.91

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