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Finding the Fourth Proportional to 1,180.26, 1,757.54 and 1,167.32

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Solution

The fourth proportional to 1,180.26, 1,757.54 and 1,167.32 is: 1,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,757.54 = 1,167.32 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,757.54 = 1,167.32/x
  3. Step 3: Cross multiply
    1,180.26x = 1,757.54 × 1,167.32
  4. Step 4: Simplify right side
    1,180.26x = 2,051,596.97
  5. Step 5: Solve for x
    x = 2,051,596.97/1,180.26
  6. Step 6: Final answer
    x = 1,738.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.