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Finding the Fourth Proportional to 3,104.46, 4,656.81 and 795.96

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Solution

The fourth proportional to 3,104.46, 4,656.81 and 795.96 is: 1,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.46 : 4,656.81 = 795.96 : x
  2. Step 2: Convert to fraction form
    3,104.46/4,656.81 = 795.96/x
  3. Step 3: Cross multiply
    3,104.46x = 4,656.81 × 795.96
  4. Step 4: Simplify right side
    3,104.46x = 3,706,634.49
  5. Step 5: Solve for x
    x = 3,706,634.49/3,104.46
  6. Step 6: Final answer
    x = 1,193.97

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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.