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Finding the Fourth Proportional to 2,974.67, 4,468.94 and 2,559.49

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Solution

The fourth proportional to 2,974.67, 4,468.94 and 2,559.49 is: 3,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.67 : 4,468.94 = 2,559.49 : x
  2. Step 2: Convert to fraction form
    2,974.67/4,468.94 = 2,559.49/x
  3. Step 3: Cross multiply
    2,974.67x = 4,468.94 × 2,559.49
  4. Step 4: Simplify right side
    2,974.67x = 11,438,192.87
  5. Step 5: Solve for x
    x = 11,438,192.87/2,974.67
  6. Step 6: Final answer
    x = 3,845.20

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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.