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Finding the Fourth Proportional to 1,767.96, 2,649.51 and 791.78

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Solution

The fourth proportional to 1,767.96, 2,649.51 and 791.78 is: 1,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.96 : 2,649.51 = 791.78 : x
  2. Step 2: Convert to fraction form
    1,767.96/2,649.51 = 791.78/x
  3. Step 3: Cross multiply
    1,767.96x = 2,649.51 × 791.78
  4. Step 4: Simplify right side
    1,767.96x = 2,097,815.78
  5. Step 5: Solve for x
    x = 2,097,815.78/1,767.96
  6. Step 6: Final answer
    x = 1,186.57

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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.