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Finding the Fourth Proportional to 2,676.16, 4,013.40 and 944.38

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Solution

The fourth proportional to 2,676.16, 4,013.40 and 944.38 is: 1,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.16 : 4,013.40 = 944.38 : x
  2. Step 2: Convert to fraction form
    2,676.16/4,013.40 = 944.38/x
  3. Step 3: Cross multiply
    2,676.16x = 4,013.40 × 944.38
  4. Step 4: Simplify right side
    2,676.16x = 3,790,174.69
  5. Step 5: Solve for x
    x = 3,790,174.69/2,676.16
  6. Step 6: Final answer
    x = 1,416.27

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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.