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Finding the Fourth Proportional to 3,305.66, 4,561.94 and 1,813.64

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Solution

The fourth proportional to 3,305.66, 4,561.94 and 1,813.64 is: 2,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.66 : 4,561.94 = 1,813.64 : x
  2. Step 2: Convert to fraction form
    3,305.66/4,561.94 = 1,813.64/x
  3. Step 3: Cross multiply
    3,305.66x = 4,561.94 × 1,813.64
  4. Step 4: Simplify right side
    3,305.66x = 8,273,716.86
  5. Step 5: Solve for x
    x = 8,273,716.86/3,305.66
  6. Step 6: Final answer
    x = 2,502.89

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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.