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Finding the Fourth Proportional to 3,305.82, 4,562.05 and 1,813.87

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Solution

The fourth proportional to 3,305.82, 4,562.05 and 1,813.87 is: 2,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.82 : 4,562.05 = 1,813.87 : x
  2. Step 2: Convert to fraction form
    3,305.82/4,562.05 = 1,813.87/x
  3. Step 3: Cross multiply
    3,305.82x = 4,562.05 × 1,813.87
  4. Step 4: Simplify right side
    3,305.82x = 8,274,965.63
  5. Step 5: Solve for x
    x = 8,274,965.63/3,305.82
  6. Step 6: Final answer
    x = 2,503.15

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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.