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Finding the Fourth Proportional to 3,099.96, 4,649.94 and 791.46

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Solution

The fourth proportional to 3,099.96, 4,649.94 and 791.46 is: 1,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.96 : 4,649.94 = 791.46 : x
  2. Step 2: Convert to fraction form
    3,099.96/4,649.94 = 791.46/x
  3. Step 3: Cross multiply
    3,099.96x = 4,649.94 × 791.46
  4. Step 4: Simplify right side
    3,099.96x = 3,680,241.51
  5. Step 5: Solve for x
    x = 3,680,241.51/3,099.96
  6. Step 6: Final answer
    x = 1,187.19

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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.