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Finding the Fourth Proportional to 1,315.92, 1,970.78 and 1,040.16

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Solution

The fourth proportional to 1,315.92, 1,970.78 and 1,040.16 is: 1,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.92 : 1,970.78 = 1,040.16 : x
  2. Step 2: Convert to fraction form
    1,315.92/1,970.78 = 1,040.16/x
  3. Step 3: Cross multiply
    1,315.92x = 1,970.78 × 1,040.16
  4. Step 4: Simplify right side
    1,315.92x = 2,049,926.52
  5. Step 5: Solve for x
    x = 2,049,926.52/1,315.92
  6. Step 6: Final answer
    x = 1,557.79

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