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Finding the Fourth Proportional to 2,989.69, 4,484.43 and 1,605.73

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Solution

The fourth proportional to 2,989.69, 4,484.43 and 1,605.73 is: 2,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.69 : 4,484.43 = 1,605.73 : x
  2. Step 2: Convert to fraction form
    2,989.69/4,484.43 = 1,605.73/x
  3. Step 3: Cross multiply
    2,989.69x = 4,484.43 × 1,605.73
  4. Step 4: Simplify right side
    2,989.69x = 7,200,772.88
  5. Step 5: Solve for x
    x = 7,200,772.88/2,989.69
  6. Step 6: Final answer
    x = 2,408.54

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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.