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Finding the Fourth Proportional to 1,966.54, 2,712.92 and 1,742.70

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Solution

The fourth proportional to 1,966.54, 2,712.92 and 1,742.70 is: 2,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.54 : 2,712.92 = 1,742.70 : x
  2. Step 2: Convert to fraction form
    1,966.54/2,712.92 = 1,742.70/x
  3. Step 3: Cross multiply
    1,966.54x = 2,712.92 × 1,742.70
  4. Step 4: Simplify right side
    1,966.54x = 4,727,805.68
  5. Step 5: Solve for x
    x = 4,727,805.68/1,966.54
  6. Step 6: Final answer
    x = 2,404.12

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