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Finding the Fourth Proportional to 2,536.02, 3,800.25 and 1,985.76

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Solution

The fourth proportional to 2,536.02, 3,800.25 and 1,985.76 is: 2,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.02 : 3,800.25 = 1,985.76 : x
  2. Step 2: Convert to fraction form
    2,536.02/3,800.25 = 1,985.76/x
  3. Step 3: Cross multiply
    2,536.02x = 3,800.25 × 1,985.76
  4. Step 4: Simplify right side
    2,536.02x = 7,546,384.44
  5. Step 5: Solve for x
    x = 7,546,384.44/2,536.02
  6. Step 6: Final answer
    x = 2,975.68

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