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Finding the Fourth Proportional to 1,261.12, 1,891.44 and 395.44

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Solution

The fourth proportional to 1,261.12, 1,891.44 and 395.44 is: 593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.12 : 1,891.44 = 395.44 : x
  2. Step 2: Convert to fraction form
    1,261.12/1,891.44 = 395.44/x
  3. Step 3: Cross multiply
    1,261.12x = 1,891.44 × 395.44
  4. Step 4: Simplify right side
    1,261.12x = 747,951.03
  5. Step 5: Solve for x
    x = 747,951.03/1,261.12
  6. Step 6: Final answer
    x = 593.08

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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.