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Finding the Fourth Proportional to 2,560.40, 3,833.88 and 1,983.76

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Solution

The fourth proportional to 2,560.40, 3,833.88 and 1,983.76 is: 2,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.40 : 3,833.88 = 1,983.76 : x
  2. Step 2: Convert to fraction form
    2,560.40/3,833.88 = 1,983.76/x
  3. Step 3: Cross multiply
    2,560.40x = 3,833.88 × 1,983.76
  4. Step 4: Simplify right side
    2,560.40x = 7,605,497.79
  5. Step 5: Solve for x
    x = 7,605,497.79/2,560.40
  6. Step 6: Final answer
    x = 2,970.43

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