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Finding the Fourth Proportional to 2,675.33, 4,013.54 and 944.09

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Solution

The fourth proportional to 2,675.33, 4,013.54 and 944.09 is: 1,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.33 : 4,013.54 = 944.09 : x
  2. Step 2: Convert to fraction form
    2,675.33/4,013.54 = 944.09/x
  3. Step 3: Cross multiply
    2,675.33x = 4,013.54 × 944.09
  4. Step 4: Simplify right side
    2,675.33x = 3,789,142.98
  5. Step 5: Solve for x
    x = 3,789,142.98/2,675.33
  6. Step 6: Final answer
    x = 1,416.33

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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.