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Finding the Fourth Proportional to 2,046.38, 3,067.59 and 658.77

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Solution

The fourth proportional to 2,046.38, 3,067.59 and 658.77 is: 987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.38 : 3,067.59 = 658.77 : x
  2. Step 2: Convert to fraction form
    2,046.38/3,067.59 = 658.77/x
  3. Step 3: Cross multiply
    2,046.38x = 3,067.59 × 658.77
  4. Step 4: Simplify right side
    2,046.38x = 2,020,852.19
  5. Step 5: Solve for x
    x = 2,020,852.19/2,046.38
  6. Step 6: Final answer
    x = 987.53

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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.