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Finding the Fourth Proportional to 1,166.68, 1,749.64 and 1,090

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Solution

The fourth proportional to 1,166.68, 1,749.64 and 1,090 is: 1,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.68 : 1,749.64 = 1,090 : x
  2. Step 2: Convert to fraction form
    1,166.68/1,749.64 = 1,090/x
  3. Step 3: Cross multiply
    1,166.68x = 1,749.64 × 1,090
  4. Step 4: Simplify right side
    1,166.68x = 1,907,107.60
  5. Step 5: Solve for x
    x = 1,907,107.60/1,166.68
  6. Step 6: Final answer
    x = 1,634.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.