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Finding the Fourth Proportional to 1,166.63, 1,746.52 and 1,097.26

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Solution

The fourth proportional to 1,166.63, 1,746.52 and 1,097.26 is: 1,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.63 : 1,746.52 = 1,097.26 : x
  2. Step 2: Convert to fraction form
    1,166.63/1,746.52 = 1,097.26/x
  3. Step 3: Cross multiply
    1,166.63x = 1,746.52 × 1,097.26
  4. Step 4: Simplify right side
    1,166.63x = 1,916,389.60
  5. Step 5: Solve for x
    x = 1,916,389.60/1,166.63
  6. Step 6: Final answer
    x = 1,642.67

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