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Finding the Fourth Proportional to 3,154.92, 4,731.77 and 1,206.66

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Solution

The fourth proportional to 3,154.92, 4,731.77 and 1,206.66 is: 1,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.92 : 4,731.77 = 1,206.66 : x
  2. Step 2: Convert to fraction form
    3,154.92/4,731.77 = 1,206.66/x
  3. Step 3: Cross multiply
    3,154.92x = 4,731.77 × 1,206.66
  4. Step 4: Simplify right side
    3,154.92x = 5,709,637.59
  5. Step 5: Solve for x
    x = 5,709,637.59/3,154.92
  6. Step 6: Final answer
    x = 1,809.76

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