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Finding the Fourth Proportional to 2,808.81, 3,877.47 and 1,629.68

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Solution

The fourth proportional to 2,808.81, 3,877.47 and 1,629.68 is: 2,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.81 : 3,877.47 = 1,629.68 : x
  2. Step 2: Convert to fraction form
    2,808.81/3,877.47 = 1,629.68/x
  3. Step 3: Cross multiply
    2,808.81x = 3,877.47 × 1,629.68
  4. Step 4: Simplify right side
    2,808.81x = 6,319,015.92
  5. Step 5: Solve for x
    x = 6,319,015.92/2,808.81
  6. Step 6: Final answer
    x = 2,249.71

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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.