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Finding the Fourth Proportional to 2,257.92, 3,395.52 and 1,972.80

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Solution

The fourth proportional to 2,257.92, 3,395.52 and 1,972.80 is: 2,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.92 : 3,395.52 = 1,972.80 : x
  2. Step 2: Convert to fraction form
    2,257.92/3,395.52 = 1,972.80/x
  3. Step 3: Cross multiply
    2,257.92x = 3,395.52 × 1,972.80
  4. Step 4: Simplify right side
    2,257.92x = 6,698,681.86
  5. Step 5: Solve for x
    x = 6,698,681.86/2,257.92
  6. Step 6: Final answer
    x = 2,966.75

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