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Finding the Fourth Proportional to 1,988.58, 2,743.92 and 1,149.15

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Solution

The fourth proportional to 1,988.58, 2,743.92 and 1,149.15 is: 1,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.58 : 2,743.92 = 1,149.15 : x
  2. Step 2: Convert to fraction form
    1,988.58/2,743.92 = 1,149.15/x
  3. Step 3: Cross multiply
    1,988.58x = 2,743.92 × 1,149.15
  4. Step 4: Simplify right side
    1,988.58x = 3,153,175.67
  5. Step 5: Solve for x
    x = 3,153,175.67/1,988.58
  6. Step 6: Final answer
    x = 1,585.64

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