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Finding the Fourth Proportional to 2,891.91, 4,337.41 and 943.68

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Solution

The fourth proportional to 2,891.91, 4,337.41 and 943.68 is: 1,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.91 : 4,337.41 = 943.68 : x
  2. Step 2: Convert to fraction form
    2,891.91/4,337.41 = 943.68/x
  3. Step 3: Cross multiply
    2,891.91x = 4,337.41 × 943.68
  4. Step 4: Simplify right side
    2,891.91x = 4,093,103.02
  5. Step 5: Solve for x
    x = 4,093,103.02/2,891.91
  6. Step 6: Final answer
    x = 1,415.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.