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Finding the Fourth Proportional to 2,510.96, 3,766.80 and 1,049.78

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Solution

The fourth proportional to 2,510.96, 3,766.80 and 1,049.78 is: 1,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.96 : 3,766.80 = 1,049.78 : x
  2. Step 2: Convert to fraction form
    2,510.96/3,766.80 = 1,049.78/x
  3. Step 3: Cross multiply
    2,510.96x = 3,766.80 × 1,049.78
  4. Step 4: Simplify right side
    2,510.96x = 3,954,311.30
  5. Step 5: Solve for x
    x = 3,954,311.30/2,510.96
  6. Step 6: Final answer
    x = 1,574.82

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