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Finding the Fourth Proportional to 2,045.03, 3,067.73 and 658.49

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Solution

The fourth proportional to 2,045.03, 3,067.73 and 658.49 is: 987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.03 : 3,067.73 = 658.49 : x
  2. Step 2: Convert to fraction form
    2,045.03/3,067.73 = 658.49/x
  3. Step 3: Cross multiply
    2,045.03x = 3,067.73 × 658.49
  4. Step 4: Simplify right side
    2,045.03x = 2,020,069.53
  5. Step 5: Solve for x
    x = 2,020,069.53/2,045.03
  6. Step 6: Final answer
    x = 987.79

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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.