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Finding the Fourth Proportional to 2,676.29, 4,013.01 and 943.70

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Solution

The fourth proportional to 2,676.29, 4,013.01 and 943.70 is: 1,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.29 : 4,013.01 = 943.70 : x
  2. Step 2: Convert to fraction form
    2,676.29/4,013.01 = 943.70/x
  3. Step 3: Cross multiply
    2,676.29x = 4,013.01 × 943.70
  4. Step 4: Simplify right side
    2,676.29x = 3,787,057.47
  5. Step 5: Solve for x
    x = 3,787,057.47/2,676.29
  6. Step 6: Final answer
    x = 1,415.04

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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.