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Finding the Fourth Proportional to 1,566.76, 2,350.86 and 1,159.33

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Solution

The fourth proportional to 1,566.76, 2,350.86 and 1,159.33 is: 1,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.76 : 2,350.86 = 1,159.33 : x
  2. Step 2: Convert to fraction form
    1,566.76/2,350.86 = 1,159.33/x
  3. Step 3: Cross multiply
    1,566.76x = 2,350.86 × 1,159.33
  4. Step 4: Simplify right side
    1,566.76x = 2,725,422.52
  5. Step 5: Solve for x
    x = 2,725,422.52/1,566.76
  6. Step 6: Final answer
    x = 1,739.53

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