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Finding the Fourth Proportional to 2,560.53, 3,831.08 and 1,584.21

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Solution

The fourth proportional to 2,560.53, 3,831.08 and 1,584.21 is: 2,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.53 : 3,831.08 = 1,584.21 : x
  2. Step 2: Convert to fraction form
    2,560.53/3,831.08 = 1,584.21/x
  3. Step 3: Cross multiply
    2,560.53x = 3,831.08 × 1,584.21
  4. Step 4: Simplify right side
    2,560.53x = 6,069,227.33
  5. Step 5: Solve for x
    x = 6,069,227.33/2,560.53
  6. Step 6: Final answer
    x = 2,370.30

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