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Finding the Fourth Proportional to 2,645.33, 3,967.97 and 1,185.48

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Solution

The fourth proportional to 2,645.33, 3,967.97 and 1,185.48 is: 1,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.33 : 3,967.97 = 1,185.48 : x
  2. Step 2: Convert to fraction form
    2,645.33/3,967.97 = 1,185.48/x
  3. Step 3: Cross multiply
    2,645.33x = 3,967.97 × 1,185.48
  4. Step 4: Simplify right side
    2,645.33x = 4,703,943.15
  5. Step 5: Solve for x
    x = 4,703,943.15/2,645.33
  6. Step 6: Final answer
    x = 1,778.21

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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.