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Finding the Fourth Proportional to 2,186.55, 3,278.75 and 799.83

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Solution

The fourth proportional to 2,186.55, 3,278.75 and 799.83 is: 1,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.55 : 3,278.75 = 799.83 : x
  2. Step 2: Convert to fraction form
    2,186.55/3,278.75 = 799.83/x
  3. Step 3: Cross multiply
    2,186.55x = 3,278.75 × 799.83
  4. Step 4: Simplify right side
    2,186.55x = 2,622,438.61
  5. Step 5: Solve for x
    x = 2,622,438.61/2,186.55
  6. Step 6: Final answer
    x = 1,199.35

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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.