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Finding the Fourth Proportional to 1,885.96, 2,830.38 and 791.20

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Solution

The fourth proportional to 1,885.96, 2,830.38 and 791.20 is: 1,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.96 : 2,830.38 = 791.20 : x
  2. Step 2: Convert to fraction form
    1,885.96/2,830.38 = 791.20/x
  3. Step 3: Cross multiply
    1,885.96x = 2,830.38 × 791.20
  4. Step 4: Simplify right side
    1,885.96x = 2,239,396.66
  5. Step 5: Solve for x
    x = 2,239,396.66/1,885.96
  6. Step 6: Final answer
    x = 1,187.40

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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.