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Finding the Fourth Proportional to 2,046.39, 3,067.85 and 729.75

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Solution

The fourth proportional to 2,046.39, 3,067.85 and 729.75 is: 1,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.39 : 3,067.85 = 729.75 : x
  2. Step 2: Convert to fraction form
    2,046.39/3,067.85 = 729.75/x
  3. Step 3: Cross multiply
    2,046.39x = 3,067.85 × 729.75
  4. Step 4: Simplify right side
    2,046.39x = 2,238,759.61
  5. Step 5: Solve for x
    x = 2,238,759.61/2,046.39
  6. Step 6: Final answer
    x = 1,094.00

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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.