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Finding the Fourth Proportional to 2,871.33, 4,307.06 and 791.34

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Solution

The fourth proportional to 2,871.33, 4,307.06 and 791.34 is: 1,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.33 : 4,307.06 = 791.34 : x
  2. Step 2: Convert to fraction form
    2,871.33/4,307.06 = 791.34/x
  3. Step 3: Cross multiply
    2,871.33x = 4,307.06 × 791.34
  4. Step 4: Simplify right side
    2,871.33x = 3,408,348.86
  5. Step 5: Solve for x
    x = 3,408,348.86/2,871.33
  6. Step 6: Final answer
    x = 1,187.03

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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.