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Finding the Fourth Proportional to 1,558.98, 2,333.60 and 1,166.68

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Solution

The fourth proportional to 1,558.98, 2,333.60 and 1,166.68 is: 1,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.98 : 2,333.60 = 1,166.68 : x
  2. Step 2: Convert to fraction form
    1,558.98/2,333.60 = 1,166.68/x
  3. Step 3: Cross multiply
    1,558.98x = 2,333.60 × 1,166.68
  4. Step 4: Simplify right side
    1,558.98x = 2,722,564.45
  5. Step 5: Solve for x
    x = 2,722,564.45/1,558.98
  6. Step 6: Final answer
    x = 1,746.38

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