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Finding the Fourth Proportional to 2,186.02, 3,278.22 and 798.95

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Solution

The fourth proportional to 2,186.02, 3,278.22 and 798.95 is: 1,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.02 : 3,278.22 = 798.95 : x
  2. Step 2: Convert to fraction form
    2,186.02/3,278.22 = 798.95/x
  3. Step 3: Cross multiply
    2,186.02x = 3,278.22 × 798.95
  4. Step 4: Simplify right side
    2,186.02x = 2,619,117.48
  5. Step 5: Solve for x
    x = 2,619,117.48/2,186.02
  6. Step 6: Final answer
    x = 1,198.12

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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.