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Finding the Fourth Proportional to 2,046.67, 3,067.60 and 948.72

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Solution

The fourth proportional to 2,046.67, 3,067.60 and 948.72 is: 1,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.67 : 3,067.60 = 948.72 : x
  2. Step 2: Convert to fraction form
    2,046.67/3,067.60 = 948.72/x
  3. Step 3: Cross multiply
    2,046.67x = 3,067.60 × 948.72
  4. Step 4: Simplify right side
    2,046.67x = 2,910,293.09
  5. Step 5: Solve for x
    x = 2,910,293.09/2,046.67
  6. Step 6: Final answer
    x = 1,421.97

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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.