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Finding the Fourth Proportional to 2,933.28, 4,404 and 1,834.44

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Solution

The fourth proportional to 2,933.28, 4,404 and 1,834.44 is: 2,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.28 : 4,404 = 1,834.44 : x
  2. Step 2: Convert to fraction form
    2,933.28/4,404 = 1,834.44/x
  3. Step 3: Cross multiply
    2,933.28x = 4,404 × 1,834.44
  4. Step 4: Simplify right side
    2,933.28x = 8,078,873.76
  5. Step 5: Solve for x
    x = 8,078,873.76/2,933.28
  6. Step 6: Final answer
    x = 2,754.21

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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.