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Finding the Fourth Proportional to 1,738.16, 2,602.65 and 1,218.80

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Solution

The fourth proportional to 1,738.16, 2,602.65 and 1,218.80 is: 1,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.16 : 2,602.65 = 1,218.80 : x
  2. Step 2: Convert to fraction form
    1,738.16/2,602.65 = 1,218.80/x
  3. Step 3: Cross multiply
    1,738.16x = 2,602.65 × 1,218.80
  4. Step 4: Simplify right side
    1,738.16x = 3,172,109.82
  5. Step 5: Solve for x
    x = 3,172,109.82/1,738.16
  6. Step 6: Final answer
    x = 1,824.98

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