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Finding the Fourth Proportional to 1,898.80, 2,845.12 and 1,166.88

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Solution

The fourth proportional to 1,898.80, 2,845.12 and 1,166.88 is: 1,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.80 : 2,845.12 = 1,166.88 : x
  2. Step 2: Convert to fraction form
    1,898.80/2,845.12 = 1,166.88/x
  3. Step 3: Cross multiply
    1,898.80x = 2,845.12 × 1,166.88
  4. Step 4: Simplify right side
    1,898.80x = 3,319,913.63
  5. Step 5: Solve for x
    x = 3,319,913.63/1,898.80
  6. Step 6: Final answer
    x = 1,748.43

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