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Finding the Fourth Proportional to 2,522.61, 3,784.32 and 1,428.30

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Solution

The fourth proportional to 2,522.61, 3,784.32 and 1,428.30 is: 2,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.61 : 3,784.32 = 1,428.30 : x
  2. Step 2: Convert to fraction form
    2,522.61/3,784.32 = 1,428.30/x
  3. Step 3: Cross multiply
    2,522.61x = 3,784.32 × 1,428.30
  4. Step 4: Simplify right side
    2,522.61x = 5,405,144.26
  5. Step 5: Solve for x
    x = 5,405,144.26/2,522.61
  6. Step 6: Final answer
    x = 2,142.68

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