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Finding the Fourth Proportional to 1,315.41, 1,969.95 and 1,040.61

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Solution

The fourth proportional to 1,315.41, 1,969.95 and 1,040.61 is: 1,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.41 : 1,969.95 = 1,040.61 : x
  2. Step 2: Convert to fraction form
    1,315.41/1,969.95 = 1,040.61/x
  3. Step 3: Cross multiply
    1,315.41x = 1,969.95 × 1,040.61
  4. Step 4: Simplify right side
    1,315.41x = 2,049,949.67
  5. Step 5: Solve for x
    x = 2,049,949.67/1,315.41
  6. Step 6: Final answer
    x = 1,558.41

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