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Finding the Fourth Proportional to 2,584.42, 3,885.95 and 2,381.42

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Solution

The fourth proportional to 2,584.42, 3,885.95 and 2,381.42 is: 3,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.42 : 3,885.95 = 2,381.42 : x
  2. Step 2: Convert to fraction form
    2,584.42/3,885.95 = 2,381.42/x
  3. Step 3: Cross multiply
    2,584.42x = 3,885.95 × 2,381.42
  4. Step 4: Simplify right side
    2,584.42x = 9,254,094.72
  5. Step 5: Solve for x
    x = 9,254,094.72/2,584.42
  6. Step 6: Final answer
    x = 3,580.73

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