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Finding the Fourth Proportional to 1,758.40, 2,629.68 and 1,564.54

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Solution

The fourth proportional to 1,758.40, 2,629.68 and 1,564.54 is: 2,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.40 : 2,629.68 = 1,564.54 : x
  2. Step 2: Convert to fraction form
    1,758.40/2,629.68 = 1,564.54/x
  3. Step 3: Cross multiply
    1,758.40x = 2,629.68 × 1,564.54
  4. Step 4: Simplify right side
    1,758.40x = 4,114,239.55
  5. Step 5: Solve for x
    x = 4,114,239.55/1,758.40
  6. Step 6: Final answer
    x = 2,339.76

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