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Finding the Fourth Proportional to 1,182.26, 1,629.07 and 1,100.25

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Solution

The fourth proportional to 1,182.26, 1,629.07 and 1,100.25 is: 1,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.26 : 1,629.07 = 1,100.25 : x
  2. Step 2: Convert to fraction form
    1,182.26/1,629.07 = 1,100.25/x
  3. Step 3: Cross multiply
    1,182.26x = 1,629.07 × 1,100.25
  4. Step 4: Simplify right side
    1,182.26x = 1,792,381.52
  5. Step 5: Solve for x
    x = 1,792,381.52/1,182.26
  6. Step 6: Final answer
    x = 1,516.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.