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Finding the Fourth Proportional to 2,676.69, 4,015.07 and 944.10

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Solution

The fourth proportional to 2,676.69, 4,015.07 and 944.10 is: 1,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.69 : 4,015.07 = 944.10 : x
  2. Step 2: Convert to fraction form
    2,676.69/4,015.07 = 944.10/x
  3. Step 3: Cross multiply
    2,676.69x = 4,015.07 × 944.10
  4. Step 4: Simplify right side
    2,676.69x = 3,790,622.87
  5. Step 5: Solve for x
    x = 3,790,622.87/2,676.69
  6. Step 6: Final answer
    x = 1,416.16

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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.