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Finding the Fourth Proportional to 2,658.04, 3,668.57 and 1,664.17

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Solution

The fourth proportional to 2,658.04, 3,668.57 and 1,664.17 is: 2,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.04 : 3,668.57 = 1,664.17 : x
  2. Step 2: Convert to fraction form
    2,658.04/3,668.57 = 1,664.17/x
  3. Step 3: Cross multiply
    2,658.04x = 3,668.57 × 1,664.17
  4. Step 4: Simplify right side
    2,658.04x = 6,105,124.14
  5. Step 5: Solve for x
    x = 6,105,124.14/2,658.04
  6. Step 6: Final answer
    x = 2,296.85

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