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Finding the Fourth Proportional to 2,557.80, 3,831.30 and 2,125.80

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Solution

The fourth proportional to 2,557.80, 3,831.30 and 2,125.80 is: 3,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.80 : 3,831.30 = 2,125.80 : x
  2. Step 2: Convert to fraction form
    2,557.80/3,831.30 = 2,125.80/x
  3. Step 3: Cross multiply
    2,557.80x = 3,831.30 × 2,125.80
  4. Step 4: Simplify right side
    2,557.80x = 8,144,577.54
  5. Step 5: Solve for x
    x = 8,144,577.54/2,557.80
  6. Step 6: Final answer
    x = 3,184.21

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