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Finding the Fourth Proportional to 2,674.69, 4,013.87 and 943.31

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Solution

The fourth proportional to 2,674.69, 4,013.87 and 943.31 is: 1,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.69 : 4,013.87 = 943.31 : x
  2. Step 2: Convert to fraction form
    2,674.69/4,013.87 = 943.31/x
  3. Step 3: Cross multiply
    2,674.69x = 4,013.87 × 943.31
  4. Step 4: Simplify right side
    2,674.69x = 3,786,329.03
  5. Step 5: Solve for x
    x = 3,786,329.03/2,674.69
  6. Step 6: Final answer
    x = 1,415.62

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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.