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Finding the Fourth Proportional to 2,872.35, 4,307.98 and 791.84

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Solution

The fourth proportional to 2,872.35, 4,307.98 and 791.84 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.35 : 4,307.98 = 791.84 : x
  2. Step 2: Convert to fraction form
    2,872.35/4,307.98 = 791.84/x
  3. Step 3: Cross multiply
    2,872.35x = 4,307.98 × 791.84
  4. Step 4: Simplify right side
    2,872.35x = 3,411,230.88
  5. Step 5: Solve for x
    x = 3,411,230.88/2,872.35
  6. Step 6: Final answer
    x = 1,187.61

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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.