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Finding the Fourth Proportional to 1,669.12, 2,502.94 and 791.87

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Solution

The fourth proportional to 1,669.12, 2,502.94 and 791.87 is: 1,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.12 : 2,502.94 = 791.87 : x
  2. Step 2: Convert to fraction form
    1,669.12/2,502.94 = 791.87/x
  3. Step 3: Cross multiply
    1,669.12x = 2,502.94 × 791.87
  4. Step 4: Simplify right side
    1,669.12x = 1,982,003.00
  5. Step 5: Solve for x
    x = 1,982,003.00/1,669.12
  6. Step 6: Final answer
    x = 1,187.46

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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.