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Finding the Fourth Proportional to 2,740.37, 3,782.42 and 1,691.82

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Solution

The fourth proportional to 2,740.37, 3,782.42 and 1,691.82 is: 2,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.37 : 3,782.42 = 1,691.82 : x
  2. Step 2: Convert to fraction form
    2,740.37/3,782.42 = 1,691.82/x
  3. Step 3: Cross multiply
    2,740.37x = 3,782.42 × 1,691.82
  4. Step 4: Simplify right side
    2,740.37x = 6,399,165.35
  5. Step 5: Solve for x
    x = 6,399,165.35/2,740.37
  6. Step 6: Final answer
    x = 2,335.15

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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.