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Finding the Fourth Proportional to 2,184.82, 3,278.10 and 798.26

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Solution

The fourth proportional to 2,184.82, 3,278.10 and 798.26 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.82 : 3,278.10 = 798.26 : x
  2. Step 2: Convert to fraction form
    2,184.82/3,278.10 = 798.26/x
  3. Step 3: Cross multiply
    2,184.82x = 3,278.10 × 798.26
  4. Step 4: Simplify right side
    2,184.82x = 2,616,776.11
  5. Step 5: Solve for x
    x = 2,616,776.11/2,184.82
  6. Step 6: Final answer
    x = 1,197.71

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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.