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Finding the Fourth Proportional to 1,741.80, 2,402.34 and 1,189.48

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Solution

The fourth proportional to 1,741.80, 2,402.34 and 1,189.48 is: 1,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.80 : 2,402.34 = 1,189.48 : x
  2. Step 2: Convert to fraction form
    1,741.80/2,402.34 = 1,189.48/x
  3. Step 3: Cross multiply
    1,741.80x = 2,402.34 × 1,189.48
  4. Step 4: Simplify right side
    1,741.80x = 2,857,535.38
  5. Step 5: Solve for x
    x = 2,857,535.38/1,741.80
  6. Step 6: Final answer
    x = 1,640.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.