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Finding the Fourth Proportional to 1,741.80, 2,402.34 and 1,042.44

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Solution

The fourth proportional to 1,741.80, 2,402.34 and 1,042.44 is: 1,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.80 : 2,402.34 = 1,042.44 : x
  2. Step 2: Convert to fraction form
    1,741.80/2,402.34 = 1,042.44/x
  3. Step 3: Cross multiply
    1,741.80x = 2,402.34 × 1,042.44
  4. Step 4: Simplify right side
    1,741.80x = 2,504,295.31
  5. Step 5: Solve for x
    x = 2,504,295.31/1,741.80
  6. Step 6: Final answer
    x = 1,437.76

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