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Finding the Fourth Proportional to 2,966.85, 4,447.06 and 1,578.78

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Solution

The fourth proportional to 2,966.85, 4,447.06 and 1,578.78 is: 2,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.85 : 4,447.06 = 1,578.78 : x
  2. Step 2: Convert to fraction form
    2,966.85/4,447.06 = 1,578.78/x
  3. Step 3: Cross multiply
    2,966.85x = 4,447.06 × 1,578.78
  4. Step 4: Simplify right side
    2,966.85x = 7,020,929.39
  5. Step 5: Solve for x
    x = 7,020,929.39/2,966.85
  6. Step 6: Final answer
    x = 2,366.46

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