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Finding the Fourth Proportional to 1,888.82, 2,830.92 and 791.90

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Solution

The fourth proportional to 1,888.82, 2,830.92 and 791.90 is: 1,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.82 : 2,830.92 = 791.90 : x
  2. Step 2: Convert to fraction form
    1,888.82/2,830.92 = 791.90/x
  3. Step 3: Cross multiply
    1,888.82x = 2,830.92 × 791.90
  4. Step 4: Simplify right side
    1,888.82x = 2,241,805.55
  5. Step 5: Solve for x
    x = 2,241,805.55/1,888.82
  6. Step 6: Final answer
    x = 1,186.88

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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.