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Finding the Fourth Proportional to 2,709.82, 3,739.54 and 1,467.82

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Solution

The fourth proportional to 2,709.82, 3,739.54 and 1,467.82 is: 2,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.82 : 3,739.54 = 1,467.82 : x
  2. Step 2: Convert to fraction form
    2,709.82/3,739.54 = 1,467.82/x
  3. Step 3: Cross multiply
    2,709.82x = 3,739.54 × 1,467.82
  4. Step 4: Simplify right side
    2,709.82x = 5,488,971.60
  5. Step 5: Solve for x
    x = 5,488,971.60/2,709.82
  6. Step 6: Final answer
    x = 2,025.59

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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.