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Finding the Fourth Proportional to 2,642.19, 3,965.76 and 1,256.48

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Solution

The fourth proportional to 2,642.19, 3,965.76 and 1,256.48 is: 1,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.19 : 3,965.76 = 1,256.48 : x
  2. Step 2: Convert to fraction form
    2,642.19/3,965.76 = 1,256.48/x
  3. Step 3: Cross multiply
    2,642.19x = 3,965.76 × 1,256.48
  4. Step 4: Simplify right side
    2,642.19x = 4,982,893.17
  5. Step 5: Solve for x
    x = 4,982,893.17/2,642.19
  6. Step 6: Final answer
    x = 1,885.90

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