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Finding the Fourth Proportional to 2,716.86, 3,749.22 and 1,654.24

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Solution

The fourth proportional to 2,716.86, 3,749.22 and 1,654.24 is: 2,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.86 : 3,749.22 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    2,716.86/3,749.22 = 1,654.24/x
  3. Step 3: Cross multiply
    2,716.86x = 3,749.22 × 1,654.24
  4. Step 4: Simplify right side
    2,716.86x = 6,202,109.69
  5. Step 5: Solve for x
    x = 6,202,109.69/2,716.86
  6. Step 6: Final answer
    x = 2,282.82

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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.