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Finding the Fourth Proportional to 1,394.15, 2,086.16 and 1,201.43

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Solution

The fourth proportional to 1,394.15, 2,086.16 and 1,201.43 is: 1,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.15 : 2,086.16 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    1,394.15/2,086.16 = 1,201.43/x
  3. Step 3: Cross multiply
    1,394.15x = 2,086.16 × 1,201.43
  4. Step 4: Simplify right side
    1,394.15x = 2,506,374.42
  5. Step 5: Solve for x
    x = 2,506,374.42/1,394.15
  6. Step 6: Final answer
    x = 1,797.79

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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.