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Finding the Fourth Proportional to 1,297.48, 1,942.57 and 1,166.26

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Solution

The fourth proportional to 1,297.48, 1,942.57 and 1,166.26 is: 1,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.48 : 1,942.57 = 1,166.26 : x
  2. Step 2: Convert to fraction form
    1,297.48/1,942.57 = 1,166.26/x
  3. Step 3: Cross multiply
    1,297.48x = 1,942.57 × 1,166.26
  4. Step 4: Simplify right side
    1,297.48x = 2,265,541.69
  5. Step 5: Solve for x
    x = 2,265,541.69/1,297.48
  6. Step 6: Final answer
    x = 1,746.11

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