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Finding the Fourth Proportional to 2,814.89, 4,222.42 and 965.98

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Solution

The fourth proportional to 2,814.89, 4,222.42 and 965.98 is: 1,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.89 : 4,222.42 = 965.98 : x
  2. Step 2: Convert to fraction form
    2,814.89/4,222.42 = 965.98/x
  3. Step 3: Cross multiply
    2,814.89x = 4,222.42 × 965.98
  4. Step 4: Simplify right side
    2,814.89x = 4,078,747.33
  5. Step 5: Solve for x
    x = 4,078,747.33/2,814.89
  6. Step 6: Final answer
    x = 1,448.99

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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.