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Finding the Fourth Proportional to 3,222.53, 4,826.04 and 1,832.47

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Solution

The fourth proportional to 3,222.53, 4,826.04 and 1,832.47 is: 2,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.53 : 4,826.04 = 1,832.47 : x
  2. Step 2: Convert to fraction form
    3,222.53/4,826.04 = 1,832.47/x
  3. Step 3: Cross multiply
    3,222.53x = 4,826.04 × 1,832.47
  4. Step 4: Simplify right side
    3,222.53x = 8,843,573.52
  5. Step 5: Solve for x
    x = 8,843,573.52/3,222.53
  6. Step 6: Final answer
    x = 2,744.30

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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.