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Finding the Fourth Proportional to 2,794.79, 4,192.83 and 820.34

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Solution

The fourth proportional to 2,794.79, 4,192.83 and 820.34 is: 1,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.79 : 4,192.83 = 820.34 : x
  2. Step 2: Convert to fraction form
    2,794.79/4,192.83 = 820.34/x
  3. Step 3: Cross multiply
    2,794.79x = 4,192.83 × 820.34
  4. Step 4: Simplify right side
    2,794.79x = 3,439,521.10
  5. Step 5: Solve for x
    x = 3,439,521.10/2,794.79
  6. Step 6: Final answer
    x = 1,230.69

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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.