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Finding the Fourth Proportional to 2,624.00, 3,931.74 and 1,648.35

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Solution

The fourth proportional to 2,624.00, 3,931.74 and 1,648.35 is: 2,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.00 : 3,931.74 = 1,648.35 : x
  2. Step 2: Convert to fraction form
    2,624.00/3,931.74 = 1,648.35/x
  3. Step 3: Cross multiply
    2,624.00x = 3,931.74 × 1,648.35
  4. Step 4: Simplify right side
    2,624.00x = 6,480,883.63
  5. Step 5: Solve for x
    x = 6,480,883.63/2,624.00
  6. Step 6: Final answer
    x = 2,469.85

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