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Finding the Fourth Proportional to 3,192.96, 4,406.22 and 1,795.72

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Solution

The fourth proportional to 3,192.96, 4,406.22 and 1,795.72 is: 2,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.96 : 4,406.22 = 1,795.72 : x
  2. Step 2: Convert to fraction form
    3,192.96/4,406.22 = 1,795.72/x
  3. Step 3: Cross multiply
    3,192.96x = 4,406.22 × 1,795.72
  4. Step 4: Simplify right side
    3,192.96x = 7,912,337.38
  5. Step 5: Solve for x
    x = 7,912,337.38/3,192.96
  6. Step 6: Final answer
    x = 2,478.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.