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Finding the Fourth Proportional to 2,795.46, 4,192.14 and 820.44

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Solution

The fourth proportional to 2,795.46, 4,192.14 and 820.44 is: 1,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.46 : 4,192.14 = 820.44 : x
  2. Step 2: Convert to fraction form
    2,795.46/4,192.14 = 820.44/x
  3. Step 3: Cross multiply
    2,795.46x = 4,192.14 × 820.44
  4. Step 4: Simplify right side
    2,795.46x = 3,439,399.34
  5. Step 5: Solve for x
    x = 3,439,399.34/2,795.46
  6. Step 6: Final answer
    x = 1,230.35

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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.