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Finding the Fourth Proportional to 1,765.70, 2,646.96 and 791.44

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Solution

The fourth proportional to 1,765.70, 2,646.96 and 791.44 is: 1,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.70 : 2,646.96 = 791.44 : x
  2. Step 2: Convert to fraction form
    1,765.70/2,646.96 = 791.44/x
  3. Step 3: Cross multiply
    1,765.70x = 2,646.96 × 791.44
  4. Step 4: Simplify right side
    1,765.70x = 2,094,910.02
  5. Step 5: Solve for x
    x = 2,094,910.02/1,765.70
  6. Step 6: Final answer
    x = 1,186.45

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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.