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Finding the Fourth Proportional to 2,186.26, 3,277.43 and 798.62

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Solution

The fourth proportional to 2,186.26, 3,277.43 and 798.62 is: 1,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.26 : 3,277.43 = 798.62 : x
  2. Step 2: Convert to fraction form
    2,186.26/3,277.43 = 798.62/x
  3. Step 3: Cross multiply
    2,186.26x = 3,277.43 × 798.62
  4. Step 4: Simplify right side
    2,186.26x = 2,617,421.15
  5. Step 5: Solve for x
    x = 2,617,421.15/2,186.26
  6. Step 6: Final answer
    x = 1,197.21

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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.