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Finding the Fourth Proportional to 2,871.44, 4,307.16 and 791.46

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Solution

The fourth proportional to 2,871.44, 4,307.16 and 791.46 is: 1,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.44 : 4,307.16 = 791.46 : x
  2. Step 2: Convert to fraction form
    2,871.44/4,307.16 = 791.46/x
  3. Step 3: Cross multiply
    2,871.44x = 4,307.16 × 791.46
  4. Step 4: Simplify right side
    2,871.44x = 3,408,944.85
  5. Step 5: Solve for x
    x = 3,408,944.85/2,871.44
  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.