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Finding the Fourth Proportional to 2,648.27, 3,646.29 and 2,249.12

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Solution

The fourth proportional to 2,648.27, 3,646.29 and 2,249.12 is: 3,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.27 : 3,646.29 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    2,648.27/3,646.29 = 2,249.12/x
  3. Step 3: Cross multiply
    2,648.27x = 3,646.29 × 2,249.12
  4. Step 4: Simplify right side
    2,648.27x = 8,200,934.48
  5. Step 5: Solve for x
    x = 8,200,934.48/2,648.27
  6. Step 6: Final answer
    x = 3,096.71

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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.